2002001022100 has 36 divisors (see below), whose sum is σ = 4533226667424. Its totient is φ = 765982998880.

The previous prime is 2002001022059. The next prime is 2002001022137. The reversal of 2002001022100 is 12201002002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 435215314 + ... + 435219913.

It is an arithmetic number, because the mean of its divisors is an integer number (125922962984).

Almost surely, 2^{2002001022100} is an apocalyptic number.

2002001022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002001022100 is an abundant number, since it is smaller than the sum of its proper divisors (2531225645324).

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

2002001022100 is a wasteful number, since it uses less digits than its factorization.

2002001022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870435264 (or 870435257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002001022100 its reverse (12201002002), we get a palindrome (2014202024102).

The spelling of 2002001022100 in words is "two trillion, two billion, one million, twenty-two thousand, one hundred".