100272067324100 has 72 divisors (see below), whose sum is σ = 253749721478400. Its totient is φ = 34378994499360.

The previous prime is 100272067323991. The next prime is 100272067324141. The reversal of 100272067324100 is 1423760272001.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 1461657644 + ... + 1461726243.

It is an arithmetic number, because the mean of its divisors is an integer number (3524301687200).

Almost surely, 2^{100272067324100} is an apocalyptic number.

100272067324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100272067324100 is an abundant number, since it is smaller than the sum of its proper divisors (153477654154300).

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

100272067324100 is a wasteful number, since it uses less digits than its factorization.

100272067324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923383922 (or 2923383901 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 100272067324100 in words is "one hundred trillion, two hundred seventy-two billion, sixty-seven million, three hundred twenty-four thousand, one hundred".