100100010120020 has 24 divisors (see below), whose sum is σ = 210213763405800. Its totient is φ = 40039291256832.

The previous prime is 100100010120017. The next prime is 100100010120029. The reversal of 100100010120020 is 20021010001001.

It can be written as a sum of positive squares in 4 ways, for example, as 368869163716 + 99731140956304 = 607346^2 + 9986548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100010120029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43397165 + ... + 45645524.

It is an arithmetic number, because the mean of its divisors is an integer number (8758906808575).

Almost surely, 2^{100100010120020} is an apocalyptic number.

100100010120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100010120020 is an abundant number, since it is smaller than the sum of its proper divisors (110113753285780).

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

100100010120020 is a wasteful number, since it uses less digits than its factorization.

100100010120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89098907 (or 89098905 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100010120020 its reverse (20021010001001), we get a palindrome (120121020121021).

The spelling of 100100010120020 in words is "one hundred trillion, one hundred billion, ten million, one hundred twenty thousand, twenty".