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101010100100100 = 2235219149118933357
BaseRepresentation
bin10110111101111000111111…
…001000101001110000000100
3111020122110201112212012102020
4112331320333020221300010
5101214422141111200400
6554455222133243140
730163511305263252
oct2675707710516004
9436573645765366
10101010100100100
112a2041631a6834
12b3b45261934b0
134449299a79179
141ad2cb47d75d2
15ba2787ab82a0
hex5bde3f229c04

101010100100100 has 144 divisors (see below), whose sum is σ = 309702464232000. Its totient is φ = 25347076830720.

The previous prime is 101010100100011. The next prime is 101010100100113. The reversal of 101010100100100 is 1001001010101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58617379 + ... + 60315978.

Almost surely, 2101010100100100 is an apocalyptic number.

101010100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010100100100 is an abundant number, since it is smaller than the sum of its proper divisors (208692364131900).

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

101010100100100 is a wasteful number, since it uses less digits than its factorization.

101010100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118933542 (or 118933535 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101010100100100 its reverse (1001001010101), we get a palindrome (102011101110201).

The spelling of 101010100100100 in words is "one hundred one trillion, ten billion, one hundred million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 149 150 190 228 285 298 300 380 447 475 570 596 745 894 950 1140 1425 1490 1788 1900 2235 2831 2850 2980 3725 4470 5662 5700 7450 8493 8940 11175 11324 14155 14900 16986 22350 28310 33972 42465 44700 56620 70775 84930 141550 169860 212325 283100 424650 849300 118933357 237866714 356800071 475733428 594666785 713600142 1189333570 1427200284 1784000355 2259733783 2378667140 2973333925 3568000710 4519467566 5946667850 6779201349 7136001420 8920001775 9038935132 11298668915 11893335700 13558402698 17721070193 17840003550 22597337830 27116805396 33896006745 35442140386 35680007100 45194675660 53163210579 56493344575 67792013490 70884280772 88605350965 106326421158 112986689150 135584026980 169480033725 177210701930 212652842316 225973378300 265816052895 336700333667 338960067450 354421403860 443026754825 531632105790 673400667334 677920134900 886053509650 1010101001001 1063264211580 1329080264475 1346801334668 1683501668335 1772107019300 2020202002002 2658160528950 3367003336670 4040404004004 5050505005005 5316321057900 6734006673340 8417508341675 10101010010010 16835016683350 20202020020020 25252525025025 33670033366700 50505050050050 101010100100100