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100120012221100 = 225243313731684079
BaseRepresentation
bin10110110000111100000001…
…110000110110101010101100
3111010111101020210111000222111
4112300330001300312222230
5101110331241112033400
6552534255413053404
730042301144164544
oct2660740160665254
9433441223430874
10100120012221100
11299a0727859183
12b28bb19627264
1343b3379a1bb21
141aa1b97a1a324
15b8954088b3ba
hex5b0f01c36aac

100120012221100 has 72 divisors (see below), whose sum is σ = 217920915293760. Its totient is φ = 39926390676480.

The previous prime is 100120012221079. The next prime is 100120012221101. The reversal of 100120012221100 is 1122210021001.

It is not an unprimeable number, because it can be changed into a prime (100120012221101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58608861 + ... + 60292939.

It is an arithmetic number, because the mean of its divisors is an integer number (3026679379080).

Almost surely, 2100120012221100 is an apocalyptic number.

100120012221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120012221100 is an abundant number, since it is smaller than the sum of its proper divisors (117800903072660).

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

100120012221100 is a wasteful number, since it uses less digits than its factorization.

100120012221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685899 (or 1685892 counting only the distinct ones).

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

Adding to 100120012221100 its reverse (1122210021001), we get a palindrome (101242222242101).

The spelling of 100120012221100 in words is "one hundred trillion, one hundred twenty billion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 866 1373 1732 2165 2746 4330 5492 6865 8660 10825 13730 21650 27460 34325 43300 68650 137300 594509 1189018 1684079 2378036 2972545 3368158 5945090 6736316 8420395 11890180 14862725 16840790 29725450 33681580 42101975 59450900 84203950 168407900 729206207 1458412414 2312240467 2916824828 3646031035 4624480934 7292062070 9248961868 11561202335 14584124140 18230155175 23122404670 36460310350 46244809340 57806011675 72920620700 115612023350 231224046700 1001200122211 2002400244422 4004800488844 5006000611055 10012001222110 20024002444220 25030003055275 50060006110550 100120012221100