100121030330131 has 16 divisors (see below), whose sum is σ = 102286141372800. Its totient is φ = 97978962883968.

The previous prime is 100121030330119. The next prime is 100121030330177. The reversal of 100121030330131 is 131033030121001.

It is a cyclic number.

It is not a de Polignac number, because 100121030330131 - 2²⁹ = 100120493459219 is a prime.

It is a super-2 number, since 2×100121030330131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121030330099 and 100121030330108.

It is not an unprimeable number, because it can be changed into a prime (100121030340131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76518280 + ... + 77815738.

It is an arithmetic number, because the mean of its divisors is an integer number (6392883835800).

Almost surely, 2^{100121030330131} is an apocalyptic number.

100121030330131 is a deficient number, since it is larger than the sum of its proper divisors (2165111042669).

100121030330131 is a wasteful number, since it uses less digits than its factorization.

100121030330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306338.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100121030330131 its reverse (131033030121001), we get a palindrome (231154060451132).

The spelling of 100121030330131 in words is "one hundred trillion, one hundred twenty-one billion, thirty million, three hundred thirty thousand, one hundred thirty-one".