22012100222100 has 144 divisors (see below), whose sum is σ = 66983237798400. Its totient is φ = 5573361830400.

The previous prime is 22012100222071. The next prime is 22012100222107. The reversal of 22012100222100 is 122200121022.

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 22012100222100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012100222107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21836275 + ... + 22822074.

It is an arithmetic number, because the mean of its divisors is an integer number (465161373600).

Almost surely, 2^{22012100222100} is an apocalyptic number.

22012100222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012100222100 is an abundant number, since it is smaller than the sum of its proper divisors (44971137576300).

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

22012100222100 is a wasteful number, since it uses less digits than its factorization.

22012100222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44658450 (or 44658443 counting only the distinct ones).

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

Adding to 22012100222100 its reverse (122200121022), we get a palindrome (22134300343122).

The spelling of 22012100222100 in words is "twenty-two trillion, twelve billion, one hundred million, two hundred twenty-two thousand, one hundred".