22120112222100 has 108 divisors (see below), whose sum is σ = 70020741002940. Its totient is φ = 5840293632000.

The previous prime is 22120112222083. The next prime is 22120112222141. The reversal of 22120112222100 is 122221102122.

It is a happy number.

22120112222100 is a `hidden beast` number, since 221 + 2 + 0 + 11 + 222 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 621366439824 + 21498745782276 = 788268^2 + 4636674^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121581885 + ... + 121763684.

Almost surely, 2^{22120112222100} is an apocalyptic number.

22120112222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120112222100 is an abundant number, since it is smaller than the sum of its proper divisors (47900628780840).

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

22120112222100 is a wasteful number, since it uses less digits than its factorization.

22120112222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243345690 (or 243345680 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22120112222100 its reverse (122221102122), we get a palindrome (22242333324222).

The spelling of 22120112222100 in words is "twenty-two trillion, one hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand, one hundred".