102132221032331 has 16 divisors (see below), whose sum is σ = 117880209413568. Its totient is φ = 86673679872000.

The previous prime is 102132221032159. The next prime is 102132221032393. The reversal of 102132221032331 is 133230122231201.

It is a cyclic number.

It is not a de Polignac number, because 102132221032331 - 2²⁶ = 102132153923467 is a prime.

It is a super-2 number, since 2×102132221032331² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102132221032331.

It is not an unprimeable number, because it can be changed into a prime (102132221035331) 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, 41472791 + ... + 43866351.

It is an arithmetic number, because the mean of its divisors is an integer number (7367513088348).

Almost surely, 2^{102132221032331} is an apocalyptic number.

102132221032331 is a deficient number, since it is larger than the sum of its proper divisors (15747988381237).

102132221032331 is a wasteful number, since it uses less digits than its factorization.

102132221032331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454022.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 102132221032331 its reverse (133230122231201), we get a palindrome (235362343263532).

The spelling of 102132221032331 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-one million, thirty-two thousand, three hundred thirty-one".