100332311012032 has 112 divisors (see below), whose sum is σ = 219973731231744. Its totient is φ = 45401077920000.

The previous prime is 100332311012023. The next prime is 100332311012069. The reversal of 100332311012032 is 230210113233001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100332311011994 and 100332311012012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16355157 + ... + 21636907.

It is an arithmetic number, because the mean of its divisors is an integer number (1964051171712).

Almost surely, 2^{100332311012032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100332311012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109986865615872).

100332311012032 is an abundant number, since it is smaller than the sum of its proper divisors (119641420219712).

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

100332311012032 is an equidigital number, since it uses as much as digits as its factorization.

100332311012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282019 (or 5281987 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100332311012032 its reverse (230210113233001), we get a palindrome (330542424245033).

The spelling of 100332311012032 in words is "one hundred trillion, three hundred thirty-two billion, three hundred eleven million, twelve thousand, thirty-two".