2002031112100 has 18 divisors (see below), whose sum is σ = 4344407513474. Its totient is φ = 800812444800.

The previous prime is 2002031112091. The next prime is 2002031112161. The reversal of 2002031112100 is 12111302002.

It can be written as a sum of positive squares in 3 ways, for example, as 559034354596 + 1442996757504 = 747686^2 + 1201248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10010155461 + ... + 10010155660.

Almost surely, 2^{2002031112100} is an apocalyptic number.

2002031112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002031112100 is an abundant number, since it is smaller than the sum of its proper divisors (2342376401374).

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

2002031112100 is a wasteful number, since it uses less digits than its factorization.

2002031112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20020311135 (or 20020311128 counting only the distinct ones).

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

Adding to 2002031112100 its reverse (12111302002), we get a palindrome (2014142414102).

The spelling of 2002031112100 in words is "two trillion, two billion, thirty-one million, one hundred twelve thousand, one hundred".