100102130213121 has 12 divisors (see below), whose sum is σ = 148499856833172. Its totient is φ = 64931111489376.

The previous prime is 100102130213021. The next prime is 100102130213123. The reversal of 100102130213121 is 121312031201001.

100102130213121 is a `hidden beast` number, since 100 + 102 + 130 + 21 + 312 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81867009745521 + 18235120467600 = 9048039^2 + 4270260^2 .

It is not a de Polignac number, because 100102130213121 - 2¹¹ = 100102130211073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102130213094 and 100102130213103.

It is not an unprimeable number, because it can be changed into a prime (100102130213123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150303498486 + ... + 150303499151.

It is an arithmetic number, because the mean of its divisors is an integer number (12374988069431).

Almost surely, 2^{100102130213121} is an apocalyptic number.

It is an amenable number.

100102130213121 is a deficient number, since it is larger than the sum of its proper divisors (48397726620051).

100102130213121 is a wasteful number, since it uses less digits than its factorization.

100102130213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300606997680 (or 300606997677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100102130213121 its reverse (121312031201001), we get a palindrome (221414161414122).

The spelling of 100102130213121 in words is "one hundred trillion, one hundred two billion, one hundred thirty million, two hundred thirteen thousand, one hundred twenty-one".