100201332100032 has 84 divisors (see below), whose sum is σ = 287258444211960. Its totient is φ = 33394697098752.

The previous prime is 100201332100031. The next prime is 100201332100039. The reversal of 100201332100032 is 230001233102001.

100201332100032 is a `hidden beast` number, since 1 + 0 + 0 + 201 + 332 + 100 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100201332099978 and 100201332100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201332100031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11614782 + ... + 18311357.

Almost surely, 2^{100201332100032} is an apocalyptic number.

100201332100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201332100032 is an abundant number, since it is smaller than the sum of its proper divisors (187057112111928).

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

100201332100032 is a wasteful number, since it uses less digits than its factorization.

100201332100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29931970 (or 29931957 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100201332100032 its reverse (230001233102001), we get a palindrome (330202565202033).

The spelling of 100201332100032 in words is "one hundred trillion, two hundred one billion, three hundred thirty-two million, one hundred thousand, thirty-two".