100522401156534 has 128 divisors (see below), whose sum is σ = 232634471731200. Its totient is φ = 28364278400640.

The previous prime is 100522401156533. The next prime is 100522401156557. The reversal of 100522401156534 is 435651104225001.

100522401156534 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100522401156492 and 100522401156501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100522401156533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3320953552 + ... + 3320983820.

It is an arithmetic number, because the mean of its divisors is an integer number (1817456810400).

Almost surely, 2^{100522401156534} is an apocalyptic number.

100522401156534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100522401156534 is an abundant number, since it is smaller than the sum of its proper divisors (132112070574666).

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

100522401156534 is a wasteful number, since it uses less digits than its factorization.

100522401156534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33298.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 100522401156534 in words is "one hundred trillion, five hundred twenty-two billion, four hundred one million, one hundred fifty-six thousand, five hundred thirty-four".