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100200021122100 = 223521011133033337
BaseRepresentation
bin10110110010000110100010…
…101010100101110000110100
3111010210000202202100022212010
4112302012202222211300310
5101113134120401401400
6553035130525324220
730051132634500564
oct2662064252456064
9433700682308763
10100200021122100
1129a21654794759
12b2a3528406670
1343baa8a94c1b3
141aa59c7a30da4
15b8b674a17450
hex5b21a2aa5c34

100200021122100 has 72 divisors (see below), whose sum is σ = 289940742827008. Its totient is φ = 26717362156800.

The previous prime is 100200021122099. The next prime is 100200021122107. The reversal of 100200021122100 is 1221120002001.

It is a super-2 number, since 2×1002000211221002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200021122107) 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, 13483369 + ... + 19549968.

Almost surely, 2100200021122100 is an apocalyptic number.

100200021122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200021122100 is an abundant number, since it is smaller than the sum of its proper divisors (189740721704908).

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

100200021122100 is a wasteful number, since it uses less digits than its factorization.

100200021122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33043465 (or 33043458 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200021122100 its reverse (1221120002001), we get a palindrome (101421141124101).

The spelling of 100200021122100 in words is "one hundred trillion, two hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 10111 20222 30333 40444 50555 60666 101110 121332 151665 202220 252775 303330 505550 606660 758325 1011100 1516650 3033300 33033337 66066674 99100011 132133348 165166685 198200022 330333370 396400044 495500055 660666740 825833425 991000110 1651666850 1982000220 2477500275 3303333700 4955000550 9910001100 334000070407 668000140814 1002000211221 1336000281628 1670000352035 2004000422442 3340000704070 4008000844884 5010001056105 6680001408140 8350001760175 10020002112210 16700003520350 20040004224420 25050005280525 33400007040700 50100010561050 100200021122100