100522166022 has 64 divisors (see below), whose sum is σ = 226235520000. Its totient is φ = 33080029344.

The previous prime is 100522165987. The next prime is 100522166117. The reversal of 100522166022 is 220661225001.

100522166022 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 2 + 1 + 6 + 602 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6935379 + ... + 6949857.

It is an arithmetic number, because the mean of its divisors is an integer number (3534930000).

Almost surely, 2^100522166022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100522166022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113117760000).

100522166022 is an abundant number, since it is smaller than the sum of its proper divisors (125713353978).

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

100522166022 is a wasteful number, since it uses less digits than its factorization.

100522166022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16122 (or 16116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 100522166022 in words is "one hundred billion, five hundred twenty-two million, one hundred sixty-six thousand, twenty-two".