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201010210101100 = 225210929363119973
BaseRepresentation
bin101101101101000101010110…
…001010110101011101101100
3222100201101111011011100201001
4231231011112022311131230
5202321322402241213400
61551302452105530044
760224336251433251
oct5555052612653554
9870641434140631
10201010210101100
1159058a51305324
121a6651607a3924
138821248927a5a
14378cd36081428
151838b0bd65a6a
hexb6d1562b576c

201010210101100 has 144 divisors (see below), whose sum is σ = 441810571688640. Its totient is φ = 79373992780800.

The previous prime is 201010210101089. The next prime is 201010210101101. The reversal of 201010210101100 is 1101012010102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201010210101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20155435714 + ... + 20155445686.

It is an arithmetic number, because the mean of its divisors is an integer number (3068128970060).

Almost surely, 2201010210101100 is an apocalyptic number.

201010210101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010210101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220905285844320).

201010210101100 is an abundant number, since it is smaller than the sum of its proper divisors (240800361587540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201010210101100 is a wasteful number, since it uses less digits than its factorization.

201010210101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700 (or 16693 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201010210101100 its reverse (1101012010102), we get a palindrome (202111222111202).

The spelling of 201010210101100 in words is "two hundred one trillion, ten billion, two hundred ten million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 293 436 545 586 1090 1172 1465 2180 2725 2930 5450 5860 6311 7325 9973 10900 12622 14650 19946 25244 29300 31555 31937 39892 49865 63110 63874 99730 126220 127748 157775 159685 199460 249325 315550 319370 498650 631100 638740 687899 798425 997300 1087057 1375798 1596850 1849123 2174114 2751596 2922089 3193700 3439495 3698246 4348228 5435285 5844178 6878990 7396492 9245615 10870570 11688356 13757980 14610445 17197475 18491230 21741140 27176425 29220890 34394950 36982460 46228075 54352850 58441780 62939603 68789900 73052225 92456150 108705700 125879206 146104450 184912300 201554407 251758412 292208900 314698015 318507701 403108814 629396030 637015402 806217628 1007772035 1258792060 1274030804 1573490075 1592538505 2015544070 3146980150 3185077010 4031088140 5038860175 6293960300 6370154020 6860416727 7962692525 10077720350 13720833454 15925385050 18441303679 20155440700 27441666908 31850770100 34302083635 36882607358 68604167270 73765214716 92206518395 137208334540 171510418175 184413036790 343020836350 368826073580 461032591975 686041672700 922065183950 1844130367900 2010102101011 4020204202022 8040408404044 10050510505055 20101021010110 40202042020220 50252552525275 100505105050550 201010210101100