102331002210021 has 144 divisors (see below), whose sum is σ = 171015804610560. Its totient is φ = 58543683793920.

The previous prime is 102331002210011. The next prime is 102331002210043. The reversal of 102331002210021 is 120012200133201.

102331002210021 is a `hidden beast` number, since 102 + 331 + 0 + 0 + 2 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 102331002210021 - 2¹³ = 102331002201829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102331002209976 and 102331002210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102331002210011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 392133241 + ... + 392394113.

It is an arithmetic number, because the mean of its divisors is an integer number (1187609754240).

Almost surely, 2^{102331002210021} is an apocalyptic number.

It is an amenable number.

102331002210021 is a deficient number, since it is larger than the sum of its proper divisors (68684802400539).

102331002210021 is a wasteful number, since it uses less digits than its factorization.

102331002210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261076 (or 261036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102331002210021 its reverse (120012200133201), we get a palindrome (222343202343222).

The spelling of 102331002210021 in words is "one hundred two trillion, three hundred thirty-one billion, two million, two hundred ten thousand, twenty-one".