100222211220200 has 48 divisors (see below), whose sum is σ = 233052597910860. Its totient is φ = 40082698368000.

The previous prime is 100222211220167. The next prime is 100222211220251. The reversal of 100222211220200 is 2022112222001.

It is a happy number.

100222211220200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 30068487108676 + 70153724111524 = 5483474^2 + 8375782^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37363811 + ... + 39956210.

Almost surely, 2^{100222211220200} is an apocalyptic number.

100222211220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222211220200 is an abundant number, since it is smaller than the sum of its proper divisors (132830386690660).

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

100222211220200 is a wasteful number, since it uses less digits than its factorization.

100222211220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77326518 (or 77326509 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100222211220200 its reverse (2022112222001), we get a palindrome (102244323442201).

The spelling of 100222211220200 in words is "one hundred trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty thousand, two hundred".