22212152100 has 90 divisors (see below), whose sum is σ = 72003048194. Its totient is φ = 5923238400.

The previous prime is 22212152099. The next prime is 22212152117. The reversal of 22212152100 is 125121222.

22212152100 is a `hidden beast` number, since 2 + 22 + 121 + 521 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1641708324 + 20570443776 = 40518^2 + 143424^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1363021 + ... + 1379220.

Almost surely, 2^22212152100 is an apocalyptic number.

22212152100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212152100 is an abundant number, since it is smaller than the sum of its proper divisors (49790896094).

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

22212152100 is a wasteful number, since it uses less digits than its factorization.

22212152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742267 (or 2742251 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 22212152100 its reverse (125121222), we get a palindrome (22337273322).

The spelling of 22212152100 in words is "twenty-two billion, two hundred twelve million, one hundred fifty-two thousand, one hundred".