100032012233010 has 384 divisors, whose sum is σ = 308336588292096. Its totient is φ = 22181244664320.

The previous prime is 100032012232961. The next prime is 100032012233039. The reversal of 100032012233010 is 10332210230001.

100032012233010 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 320 + 1 + 2 + 2 + 330 + 10 = 666.

100032012233010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1345148089 + ... + 1345222451.

It is an arithmetic number, because the mean of its divisors is an integer number (802959865344).

Almost surely, 2^{100032012233010} is an apocalyptic number.

100032012233010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100032012233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154168294146048).

100032012233010 is an abundant number, since it is smaller than the sum of its proper divisors (208304576059086).

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

100032012233010 is a wasteful number, since it uses less digits than its factorization.

100032012233010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75350 (or 75347 counting only the distinct ones).

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

Adding to 100032012233010 its reverse (10332210230001), we get a palindrome (110364222463011).

The spelling of 100032012233010 in words is "one hundred trillion, thirty-two billion, twelve million, two hundred thirty-three thousand, ten".