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100101221210200 = 23527138163517511
BaseRepresentation
bin10110110000101010100001…
…101110110101100001011000
3111010102120202012212202222211
4112300222201232311201120
5101110024300112211300
6552521511032324504
730041034402215320
oct2660524156654130
9433376665782884
10100101221210200
1129993764815601
12b288354543734
1343b1673965072
141aa0cd4124280
15b88ce0d344ba
hex5b0aa1bb5858

100101221210200 has 96 divisors (see below), whose sum is σ = 265985684040960. Its totient is φ = 34320103977600.

The previous prime is 100101221210191. The next prime is 100101221210239. The reversal of 100101221210200 is 2012122101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193169445 + ... + 193686955.

It is an arithmetic number, because the mean of its divisors is an integer number (2770684208760).

Almost surely, 2100101221210200 is an apocalyptic number.

100101221210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101221210200 is an abundant number, since it is smaller than the sum of its proper divisors (165884462830760).

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

100101221210200 is a wasteful number, since it uses less digits than its factorization.

100101221210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655697 (or 655688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100101221210200 its reverse (2012122101001), we get a palindrome (102113343311201).

The spelling of 100101221210200 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 138163 276326 517511 552652 690815 967141 1035022 1105304 1381630 1934282 2070044 2587555 2763260 3454075 3622577 3868564 4140088 4835705 5175110 5526520 6908150 7245154 7737128 9671410 10350220 12937775 13816300 14490308 18112885 19342820 20700440 24178525 25875550 27632600 28980616 36225770 38685640 48357050 51751100 72451540 90564425 96714100 103502200 144903080 181128850 193428200 362257700 724515400 71500872293 143001744586 286003489172 357504361465 500506106051 572006978344 715008722930 1001012212102 1430017445860 1787521807325 2002024424204 2502530530255 2860034891720 3575043614650 4004048848408 5005061060510 7150087229300 10010122121020 12512652651275 14300174458600 20020244242040 25025305302550 50050610605100 100101221210200