22221102000100 has 72 divisors (see below), whose sum is σ = 48332820954600. Its totient is φ = 8867610501120.

The previous prime is 22221102000059. The next prime is 22221102000107. The reversal of 22221102000100 is 100020112222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8928908944384 + 13292193055716 = 2988128^2 + 3645846^2 .

It is not an unprimeable number, because it can be changed into a prime (22221102000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470393682 + ... + 470440918.

It is an arithmetic number, because the mean of its divisors is an integer number (671289179925).

Almost surely, 2^{22221102000100} is an apocalyptic number.

22221102000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221102000100 is an abundant number, since it is smaller than the sum of its proper divisors (26111718954500).

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

22221102000100 is a wasteful number, since it uses less digits than its factorization.

22221102000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58177 (or 58170 counting only the distinct ones).

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

Adding to 22221102000100 its reverse (100020112222), we get a palindrome (22321122112322).

The spelling of 22221102000100 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred two million, one hundred", and thus it is an aban number.