10221022122100 has 36 divisors (see below), whose sum is σ = 22229684959104. Its totient is φ = 4079179917280.

The previous prime is 10221022122043. The next prime is 10221022122107. The reversal of 10221022122100 is 122122012201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221022122107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115317124 + ... + 115405723.

It is an arithmetic number, because the mean of its divisors is an integer number (617491248864).

Almost surely, 2^{10221022122100} is an apocalyptic number.

10221022122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221022122100 is an abundant number, since it is smaller than the sum of its proper divisors (12008662837004).

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

10221022122100 is a wasteful number, since it uses less digits than its factorization.

10221022122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230723304 (or 230723297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221022122100 its reverse (122122012201), we get a palindrome (10343144134301).

It can be divided in two parts, 102210221 and 22100, that added together give a square (102232321 = 10111²).

The spelling of 10221022122100 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, one hundred".