2002113101100 has 144 divisors (see below), whose sum is σ = 6908160849408. Its totient is φ = 437729064960.

The previous prime is 2002113101039. The next prime is 2002113101111. The reversal of 2002113101100 is 11013112002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20677509 + ... + 20774108.

It is an arithmetic number, because the mean of its divisors is an integer number (47973339232).

Almost surely, 2^{2002113101100} is an apocalyptic number.

2002113101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002113101100 is an abundant number, since it is smaller than the sum of its proper divisors (4906047748308).

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

2002113101100 is a wasteful number, since it uses less digits than its factorization.

2002113101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41451664 (or 41451657 counting only the distinct ones).

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

Adding to 2002113101100 its reverse (11013112002), we get a palindrome (2013126213102).

The spelling of 2002113101100 in words is "two trillion, two billion, one hundred thirteen million, one hundred one thousand, one hundred".