100120020200000 has 84 divisors (see below), whose sum is σ = 248328687798324. Its totient is φ = 40048008000000.

The previous prime is 100120020199987. The next prime is 100120020200021. The reversal of 100120020200000 is 2020021001.

It can be written as a sum of positive squares in 6 ways, for example, as 46553547336256 + 53566472863744 = 6823016^2 + 7318912^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250100051 + ... + 250500050.

It is an arithmetic number, because the mean of its divisors is an integer number (2956293902361).

Almost surely, 2^{100120020200000} is an apocalyptic number.

100120020200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120020200000 is an abundant number, since it is smaller than the sum of its proper divisors (148208667598324).

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

100120020200000 is an frugal number, since it uses more digits than its factorization.

100120020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500600138 (or 500600108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100120020200000 its reverse (2020021001), we get a palindrome (100122040221001).

The spelling of 100120020200000 in words is "one hundred trillion, one hundred twenty billion, twenty million, two hundred thousand".