10102022222100 has 72 divisors (see below), whose sum is σ = 30947842211328. Its totient is φ = 2535409497600.

The previous prime is 10102022222087. The next prime is 10102022222119. The reversal of 10102022222100 is 122222020101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102022222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990389236 + ... + 990399435.

It is an arithmetic number, because the mean of its divisors is an integer number (429831141824).

Almost surely, 2^{10102022222100} is an apocalyptic number.

10102022222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102022222100 is an abundant number, since it is smaller than the sum of its proper divisors (20845819989228).

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

10102022222100 is a wasteful number, since it uses less digits than its factorization.

10102022222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980788705 (or 1980788698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10102022222100 its reverse (122222020101), we get a palindrome (10224244242201).

The spelling of 10102022222100 in words is "ten trillion, one hundred two billion, twenty-two million, two hundred twenty-two thousand, one hundred".