100230121312131 has 16 divisors (see below), whose sum is σ = 140729966910720. Its totient is φ = 63328485100320.

The previous prime is 100230121312103. The next prime is 100230121312159. The reversal of 100230121312131 is 131213121032001.

It is an interprime number because it is at equal distance from previous prime (100230121312103) and next prime (100230121312159).

It is not a de Polignac number, because 100230121312131 - 2¹⁰ = 100230121311107 is a prime.

It is a super-2 number, since 2×100230121312131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100230121312098 and 100230121312107.

It is not an unprimeable number, because it can be changed into a prime (100230121312931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6663343185 + ... + 6663358226.

It is an arithmetic number, because the mean of its divisors is an integer number (8795622931920).

Almost surely, 2^{100230121312131} is an apocalyptic number.

100230121312131 is a deficient number, since it is larger than the sum of its proper divisors (40499845598589).

100230121312131 is a wasteful number, since it uses less digits than its factorization.

100230121312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13326701546.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 100230121312131 its reverse (131213121032001), we get a palindrome (231443242344132).

The spelling of 100230121312131 in words is "one hundred trillion, two hundred thirty billion, one hundred twenty-one million, three hundred twelve thousand, one hundred thirty-one".