100021253200000 has 384 divisors, whose sum is σ = 271858340577600. Its totient is φ = 36350476800000.

The previous prime is 100021253199947. The next prime is 100021253200039. The reversal of 100021253200000 is 2352120001.

100021253200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100021253200000³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9103594507 + ... + 9103605493.

Almost surely, 2^{100021253200000} is an apocalyptic number.

100021253200000 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 100021253200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135929170288800).

100021253200000 is an abundant number, since it is smaller than the sum of its proper divisors (171837087377600).

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

100021253200000 is an equidigital number, since it uses as much as digits as its factorization.

100021253200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106 (or 13074 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The spelling of 100021253200000 in words is "one hundred trillion, twenty-one billion, two hundred fifty-three million, two hundred thousand".