102012042400131 has 16 divisors (see below), whose sum is σ = 137645687107584. Its totient is φ = 67196531984544.

The previous prime is 102012042400091. The next prime is 102012042400171. The reversal of 102012042400131 is 131004240210201.

It is an interprime number because it is at equal distance from previous prime (102012042400091) and next prime (102012042400171).

It is not a de Polignac number, because 102012042400131 - 2⁷ = 102012042400003 is a prime.

It is a super-2 number, since 2×102012042400131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102012042400098 and 102012042400107.

It is not an unprimeable number, because it can be changed into a prime (102012042400171) 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, 414752416 + ... + 414998301.

It is an arithmetic number, because the mean of its divisors is an integer number (8602855444224).

Almost surely, 2^{102012042400131} is an apocalyptic number.

102012042400131 is a deficient number, since it is larger than the sum of its proper divisors (35633644707453).

102012042400131 is a wasteful number, since it uses less digits than its factorization.

102012042400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829751210.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102012042400131 its reverse (131004240210201), we get a palindrome (233016282610332).

The spelling of 102012042400131 in words is "one hundred two trillion, twelve billion, forty-two million, four hundred thousand, one hundred thirty-one".