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100210112221100 = 225271097130498909
BaseRepresentation
bin10110110010001111111100…
…001001000100111110101100
3111010210222211000112021022112
4112302033330021010332230
5101113320302212033400
6553043520124503152
730051640666433360
oct2662177411047654
9433728730467275
10100210112221100
1129a259629707a2
12b2a54839aaab8
1343bba084848ab
141aa62a3d092a0
15b8ba658bc835
hex5b23fc244fac

100210112221100 has 72 divisors (see below), whose sum is σ = 248747626320480. Its totient is φ = 34326432760320.

The previous prime is 100210112221069. The next prime is 100210112221103. The reversal of 100210112221100 is 1122211012001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100210112221103) 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, 64481555 + ... + 66017354.

It is an arithmetic number, because the mean of its divisors is an integer number (3454828143340).

Almost surely, 2100210112221100 is an apocalyptic number.

100210112221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210112221100 is an abundant number, since it is smaller than the sum of its proper divisors (148537514099380).

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

100210112221100 is a wasteful number, since it uses less digits than its factorization.

100210112221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130500027 (or 130500020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210112221100 its reverse (1122211012001), we get a palindrome (101332323233101).

The spelling of 100210112221100 in words is "one hundred trillion, two hundred ten billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1097 2194 4388 5485 7679 10970 15358 21940 27425 30716 38395 54850 76790 109700 153580 191975 383950 767900 130498909 260997818 521995636 652494545 913492363 1304989090 1826984726 2609978180 3262472725 3653969452 4567461815 6524945450 9134923630 13049890900 18269847260 22837309075 45674618150 91349236300 143157303173 286314606346 572629212692 715786515865 1002101122211 1431573031730 2004202244422 2863146063460 3578932579325 4008404488844 5010505611055 7157865158650 10021011222110 14315730317300 20042022444220 25052528055275 50105056110550 100210112221100