100522200072 has 64 divisors (see below), whose sum is σ = 287231846400. Its totient is φ = 28718072640.

The previous prime is 100522200017. The next prime is 100522200089. The reversal of 100522200072 is 270002225001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 2688079 + ... + 2725217.

It is an arithmetic number, because the mean of its divisors is an integer number (4487997600).

Almost surely, 2^100522200072 is an apocalyptic number.

100522200072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100522200072 is an abundant number, since it is smaller than the sum of its proper divisors (186709646328).

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

100522200072 is a wasteful number, since it uses less digits than its factorization.

100522200072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53266 (or 53262 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

Adding to 100522200072 its reverse (270002225001), we get a palindrome (370524425073).

The spelling of 100522200072 in words is "one hundred billion, five hundred twenty-two million, two hundred thousand, seventy-two".