102022102112001 has 32 divisors (see below), whose sum is σ = 142355167718400. Its totient is φ = 64869038414400.

The previous prime is 102022102111981. The next prime is 102022102112017. The reversal of 102022102112001 is 100211201220201.

It is a de Polignac number, because none of the positive numbers 2^k-102022102112001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102022102112071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095422206 + ... + 1095515336.

It is an arithmetic number, because the mean of its divisors is an integer number (4448598991200).

Almost surely, 2^{102022102112001} is an apocalyptic number.

It is an amenable number.

102022102112001 is a deficient number, since it is larger than the sum of its proper divisors (40333065606399).

102022102112001 is a wasteful number, since it uses less digits than its factorization.

102022102112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138997.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102022102112001 its reverse (100211201220201), we get a palindrome (202233303332202).

The spelling of 102022102112001 in words is "one hundred two trillion, twenty-two billion, one hundred two million, one hundred twelve thousand, one".