2101312113201 has 32 divisors (see below), whose sum is σ = 3745028556800. Its totient is φ = 1137552420240.

The previous prime is 2101312113169. The next prime is 2101312113203. The reversal of 2101312113201 is 1023112131012.

2101312113201 is a `hidden beast` number, since 2 + 1 + 0 + 131 + 211 + 320 + 1 = 666.

It is not a de Polignac number, because 2101312113201 - 2⁵ = 2101312113169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101312113203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292576765 + ... + 292583946.

It is an arithmetic number, because the mean of its divisors is an integer number (117032142400).

Almost surely, 2^{2101312113201} is an apocalyptic number.

2101312113201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101312113201 is a deficient number, since it is larger than the sum of its proper divisors (1643716443599).

2101312113201 is a wasteful number, since it uses less digits than its factorization.

2101312113201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585160746 (or 585160740 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2101312113201 its reverse (1023112131012), we get a palindrome (3124424244213).

The spelling of 2101312113201 in words is "two trillion, one hundred one billion, three hundred twelve million, one hundred thirteen thousand, two hundred one".