2010120113001 has 96 divisors (see below), whose sum is σ = 3667588848000. Its totient is φ = 962632581120.

The previous prime is 2010120112997. The next prime is 2010120113017. The reversal of 2010120113001 is 1003110210102.

It is not a de Polignac number, because 2010120113001 - 2² = 2010120112997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2010120113501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16102975 + ... + 16227323.

It is an arithmetic number, because the mean of its divisors is an integer number (38204050500).

Almost surely, 2^{2010120113001} is an apocalyptic number.

2010120113001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010120113001 is a deficient number, since it is larger than the sum of its proper divisors (1657468734999).

2010120113001 is a wasteful number, since it uses less digits than its factorization.

2010120113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125159 (or 125152 counting only the distinct ones).

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

Adding to 2010120113001 its reverse (1003110210102), we get a palindrome (3013230323103).

It can be divided in two parts, 20101 and 20113001, that added together give a palindrome (20133102).

The spelling of 2010120113001 in words is "two trillion, ten billion, one hundred twenty million, one hundred thirteen thousand, one".