10112022202100 has 108 divisors (see below), whose sum is σ = 27155267514144. Its totient is φ = 3200288307840.

The previous prime is 10112022202091. The next prime is 10112022202133. The reversal of 10112022202100 is 120222021101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42620594 + ... + 42857193.

It is an arithmetic number, because the mean of its divisors is an integer number (251437662168).

Almost surely, 2^{10112022202100} is an apocalyptic number.

10112022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112022202100 is an abundant number, since it is smaller than the sum of its proper divisors (17043245312044).

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

10112022202100 is a wasteful number, since it uses less digits than its factorization.

10112022202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85477834 (or 85477814 counting only the distinct ones).

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

Adding to 10112022202100 its reverse (120222021101), we get a palindrome (10232244223201).

The spelling of 10112022202100 in words is "ten trillion, one hundred twelve billion, twenty-two million, two hundred two thousand, one hundred".