22101202002100 has 72 divisors (see below), whose sum is σ = 51663794477400. Its totient is φ = 8158076129280.

The previous prime is 22101202002079. The next prime is 22101202002127. The reversal of 22101202002100 is 120020210122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20308848693156 + 1792353308944 = 4506534^2 + 1338788^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2019084 + ... + 6948316.

It is an arithmetic number, because the mean of its divisors is an integer number (717552701075).

Almost surely, 2^{22101202002100} is an apocalyptic number.

22101202002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101202002100 is an abundant number, since it is smaller than the sum of its proper divisors (29562592475300).

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

22101202002100 is a wasteful number, since it uses less digits than its factorization.

22101202002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932709 (or 4932702 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22101202002100 its reverse (120020210122), we get a palindrome (22221222212222).

The spelling of 22101202002100 in words is "twenty-two trillion, one hundred one billion, two hundred two million, two thousand, one hundred".