2113101124101 has 24 divisors (see below), whose sum is σ = 3407170811616. Its totient is φ = 1250884383840.

The previous prime is 2113101124033. The next prime is 2113101124109. The reversal of 2113101124101 is 1014211013112.

2113101124101 is a `hidden beast` number, since 211 + 31 + 0 + 1 + 12 + 410 + 1 = 666.

It is not a de Polignac number, because 2113101124101 - 2¹¹ = 2113101122053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113101124109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248187090 + ... + 248195603.

It is an arithmetic number, because the mean of its divisors is an integer number (141965450484).

Almost surely, 2^{2113101124101} is an apocalyptic number.

It is an amenable number.

2113101124101 is a deficient number, since it is larger than the sum of its proper divisors (1294069687515).

2113101124101 is a wasteful number, since it uses less digits than its factorization.

2113101124101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496382753 (or 496382750 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2113101124101 its reverse (1014211013112), we get a palindrome (3127312137213).

It can be divided in two parts, 21131011 and 24101, that added together give a palindrome (21155112).

The spelling of 2113101124101 in words is "two trillion, one hundred thirteen billion, one hundred one million, one hundred twenty-four thousand, one hundred one".