201002100111021 has 128 divisors (see below), whose sum is σ = 303326108467200. Its totient is φ = 117362872604160.

The previous prime is 201002100110983. The next prime is 201002100111031. The reversal of 201002100111021 is 120111001200102.

It is not a de Polignac number, because 201002100111021 - 2²² = 201002095916717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201002100110988 and 201002100111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002100111031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23539297770 + ... + 23539306308.

It is an arithmetic number, because the mean of its divisors is an integer number (2369735222400).

Almost surely, 2^{201002100111021} is an apocalyptic number.

It is an amenable number.

201002100111021 is a deficient number, since it is larger than the sum of its proper divisors (102324008356179).

201002100111021 is a wasteful number, since it uses less digits than its factorization.

201002100111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201002100111021 its reverse (120111001200102), we get a palindrome (321113101311123).

The spelling of 201002100111021 in words is "two hundred one trillion, two billion, one hundred million, one hundred eleven thousand, twenty-one".