201021030012100 has 144 divisors (see below), whose sum is σ = 480627128520000. Its totient is φ = 72665682001920.

The previous prime is 201021030012079. The next prime is 201021030012113. The reversal of 201021030012100 is 1210030120102.

201021030012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201021030012100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18991725 + ... + 27617524.

It is an arithmetic number, because the mean of its divisors is an integer number (3337688392500).

Almost surely, 2^{201021030012100} is an apocalyptic number.

201021030012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021030012100 is an abundant number, since it is smaller than the sum of its proper divisors (279606098507900).

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

201021030012100 is a wasteful number, since it uses less digits than its factorization.

201021030012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46609382 (or 46609375 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 201021030012100 its reverse (1210030120102), we get a palindrome (202231060132202).

The spelling of 201021030012100 in words is "two hundred one trillion, twenty-one billion, thirty million, twelve thousand, one hundred".