22222202102100 has 1440 divisors, whose sum is σ = 99840228483072. Its totient is φ = 4124856960000.

The previous prime is 22222202102083. The next prime is 22222202102143. The reversal of 22222202102100 is 120120222222.

22222202102100 is a `hidden beast` number, since 2 + 2 + 22 + 220 + 210 + 210 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 251306895 + ... + 251395305.

Almost surely, 2^{22222202102100} is an apocalyptic number.

22222202102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222202102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49920114241536).

22222202102100 is an abundant number, since it is smaller than the sum of its proper divisors (77618026380972).

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

22222202102100 is a wasteful number, since it uses less digits than its factorization.

22222202102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88499 (or 88483 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22222202102100 its reverse (120120222222), we get a palindrome (22342322324322).

The spelling of 22222202102100 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred two million, one hundred two thousand, one hundred".