100021132132000 has 96 divisors (see below), whose sum is σ = 245802986629200. Its totient is φ = 40000139468800.

The previous prime is 100021132131989. The next prime is 100021132132037. The reversal of 100021132132000 is 231231120001.

It can be written as a sum of positive squares in 8 ways, for example, as 2439056815504 + 97582075316496 = 1561748^2 + 9878364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 16672476 + ... + 21863524.

Almost surely, 2^{100021132132000} is an apocalyptic number.

100021132132000 is a gapful number since it is divisible by the number (10) 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 100021132132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122901493314600).

100021132132000 is an abundant number, since it is smaller than the sum of its proper divisors (145781854497200).

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

100021132132000 is an equidigital number, since it uses as much as digits as its factorization.

100021132132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195891 (or 5195873 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100021132132000 its reverse (231231120001), we get a palindrome (100252363252001).

The spelling of 100021132132000 in words is "one hundred trillion, twenty-one billion, one hundred thirty-two million, one hundred thirty-two thousand".