102201412004032 has 112 divisors (see below), whose sum is σ = 226647032490144. Its totient is φ = 45320526848000.

The previous prime is 102201412004011. The next prime is 102201412004089. The reversal of 102201412004032 is 230400214102201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102201412003994 and 102201412004012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234558482 + ... + 1234641262.

It is an arithmetic number, because the mean of its divisors is an integer number (2023634218662).

Almost surely, 2^{102201412004032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201412004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113323516245072).

102201412004032 is an abundant number, since it is smaller than the sum of its proper divisors (124445620486112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201412004032 is a wasteful number, since it uses less digits than its factorization.

102201412004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125618 (or 125608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102201412004032 its reverse (230400214102201), we get a palindrome (332601626106233).

The spelling of 102201412004032 in words is "one hundred two trillion, two hundred one billion, four hundred twelve million, four thousand, thirty-two".