100220222122200 has 192 divisors, whose sum is σ = 345779297280000. Its totient is φ = 26680775022720.

The previous prime is 100220222122199. The next prime is 100220222122211. The reversal of 100220222122200 is 2221222022001.

100220222122200 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 2 + 221 + 2 + 220 + 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 47 ways as a sum of consecutive naturals, for example, 12257304 + ... + 18726503.

It is an arithmetic number, because the mean of its divisors is an integer number (1800933840000).

Almost surely, 2^{100220222122200} is an apocalyptic number.

100220222122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220222122200 is an abundant number, since it is smaller than the sum of its proper divisors (245559075157800).

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

100220222122200 is a wasteful number, since it uses less digits than its factorization.

100220222122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30984431 (or 30984416 counting only the distinct ones).

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

Adding to 100220222122200 its reverse (2221222022001), we get a palindrome (102441444144201).

The spelling of 100220222122200 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred".