100201012012020 has 48 divisors (see below), whose sum is σ = 283286744657280. Its totient is φ = 26460849772416.

The previous prime is 100201012012007. The next prime is 100201012012033. The reversal of 100201012012020 is 20210210102001.

100201012012020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100201012012007) and next prime (100201012012033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100201012011987 and 100201012012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8106871815 + ... + 8106884174.

It is an arithmetic number, because the mean of its divisors is an integer number (5901807180360).

Almost surely, 2^{100201012012020} is an apocalyptic number.

100201012012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201012012020 is an abundant number, since it is smaller than the sum of its proper divisors (183085732645260).

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

100201012012020 is a wasteful number, since it uses less digits than its factorization.

100201012012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16213756104 (or 16213756102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201012012020 its reverse (20210210102001), we get a palindrome (120411222114021).

The spelling of 100201012012020 in words is "one hundred trillion, two hundred one billion, twelve million, twelve thousand, twenty".