2002011200021 has 32 divisors (see below), whose sum is σ = 2343406617600. Its totient is φ = 1709621327232.

The previous prime is 2002011199987. The next prime is 2002011200027. The reversal of 2002011200021 is 1200021102002.

It is a happy number.

It is not a de Polignac number, because 2002011200021 - 2³⁸ = 1727133293077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002011199975 and 2002011200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011200027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273010271 + ... + 273017603.

It is an arithmetic number, because the mean of its divisors is an integer number (73231456800).

Almost surely, 2^{2002011200021} is an apocalyptic number.

It is an amenable number.

2002011200021 is a deficient number, since it is larger than the sum of its proper divisors (341395417579).

2002011200021 is an equidigital number, since it uses as much as digits as its factorization.

2002011200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002011200021 its reverse (1200021102002), we get a palindrome (3202032302023).

The spelling of 2002011200021 in words is "two trillion, two billion, eleven million, two hundred thousand, twenty-one".