102121021040031 has 48 divisors (see below), whose sum is σ = 168884937661440. Its totient is φ = 58249578496320.

The previous prime is 102121021039997. The next prime is 102121021040063. The reversal of 102121021040031 is 130040120121201.

102121021040031 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 21 + 0 + 210 + 400 + 31 = 666.

It is not a de Polignac number, because 102121021040031 - 2⁷ = 102121021039903 is a prime.

It is a super-2 number, since 2×102121021040031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102121021039986 and 102121021040013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121021040231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793607965 + ... + 793736633.

It is an arithmetic number, because the mean of its divisors is an integer number (3518436201280).

Almost surely, 2^{102121021040031} is an apocalyptic number.

102121021040031 is a deficient number, since it is larger than the sum of its proper divisors (66763916621409).

102121021040031 is a wasteful number, since it uses less digits than its factorization.

102121021040031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151316 (or 151313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102121021040031 its reverse (130040120121201), we get a palindrome (232161141161232).

The spelling of 102121021040031 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-one million, forty thousand, thirty-one".