100522145412 has 288 divisors, whose sum is σ = 288363479040. Its totient is φ = 29314897920.

The previous prime is 100522145407. The next prime is 100522145413. The reversal of 100522145412 is 214541225001.

It is a happy number.

100522145412 is a `hidden beast` number, since 100 + 5 + 2 + 2 + 14 + 541 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (100522145413) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 163983618 + ... + 163984230.

It is an arithmetic number, because the mean of its divisors is an integer number (1001262080).

Almost surely, 2^100522145412 is an apocalyptic number.

100522145412 is a gapful number since it is divisible by the number (12) 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 100522145412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144181739520).

100522145412 is an abundant number, since it is smaller than the sum of its proper divisors (187841333628).

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

100522145412 is a wasteful number, since it uses less digits than its factorization.

100522145412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 100522145412 in words is "one hundred billion, five hundred twenty-two million, one hundred forty-five thousand, four hundred twelve".