10102112022002 has 64 divisors (see below), whose sum is σ = 20369256171264. Its totient is φ = 3628887229440.

The previous prime is 10102112021993. The next prime is 10102112022053. The reversal of 10102112022002 is 20022021120101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228283 + ... + 4659710.

It is an arithmetic number, because the mean of its divisors is an integer number (318269627676).

Almost surely, 2^{10102112022002} is an apocalyptic number.

10102112022002 is an abundant number, since it is smaller than the sum of its proper divisors (10267144149262).

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

10102112022002 is a wasteful number, since it uses less digits than its factorization.

10102112022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888883.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102112022002 its reverse (20022021120101), we get a palindrome (30124133142103).

The spelling of 10102112022002 in words is "ten trillion, one hundred two billion, one hundred twelve million, twenty-two thousand, two".