100213132200000 has 168 divisors, whose sum is σ = 331412847220224. Its totient is φ = 26723501760000.

The previous prime is 100213132199911. The next prime is 100213132200029. The reversal of 100213132200000 is 2231312001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82910944 + ... + 84110943.

It is an arithmetic number, because the mean of its divisors is an integer number (1972695519168).

Almost surely, 2^{100213132200000} is an apocalyptic number.

100213132200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213132200000 is an abundant number, since it is smaller than the sum of its proper divisors (231199715020224).

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

100213132200000 is an frugal number, since it uses more digits than its factorization.

100213132200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167021927 (or 167021897 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100213132200000 its reverse (2231312001), we get a palindrome (100215363512001).

The spelling of 100213132200000 in words is "one hundred trillion, two hundred thirteen billion, one hundred thirty-two million, two hundred thousand".