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100201000120122 = 231123263250983133
BaseRepresentation
bin10110110010000111011101…
…000001001010111100111010
3111010210010021222111120200010
4112302013131001022330322
5101113143122012320442
6553035412020522350
730051166123030326
oct2662073501127472
9433703258446603
10100201000120122
1129a22007373430
12b2a37602503b6
1343babb5714b75
141aa5a7ba72986
15b8b6d094ab9c
hex5b21dd04af3a

100201000120122 has 64 divisors (see below), whose sum is σ = 228992995731456. Its totient is φ = 28933335456960.

The previous prime is 100201000120103. The next prime is 100201000120127. The reversal of 100201000120122 is 221021000102001.

100201000120122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100201000120098 and 100201000120107.

It is not an unprimeable number, because it can be changed into a prime (100201000120127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125092333 + ... + 125890800.

It is an arithmetic number, because the mean of its divisors is an integer number (3578015558304).

Almost surely, 2100201000120122 is an apocalyptic number.

100201000120122 is an abundant number, since it is smaller than the sum of its proper divisors (128791995611334).

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

100201000120122 is a wasteful number, since it uses less digits than its factorization.

100201000120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250983435.

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

Adding to 100201000120122 its reverse (221021000102001), we get a palindrome (321222000222123).

The spelling of 100201000120122 in words is "one hundred trillion, two hundred one billion, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 263 506 526 759 789 1518 1578 2893 5786 6049 8679 12098 17358 18147 36294 66539 133078 199617 399234 250983133 501966266 752949399 1505898798 2760814463 5521628926 5772612059 8282443389 11545224118 16564886778 17317836177 34635672354 63498732649 66008563979 126997465298 132017127958 190496197947 198025691937 380992395894 396051383874 726094203769 1452188407538 1518196971517 2178282611307 3036393943034 4356565222614 4554590914551 9109181829102 16700166686687 33400333373374 50100500060061 100201000120122