2113002113101 has 24 divisors (see below), whose sum is σ = 2355621565752. Its totient is φ = 1893726912000.

The previous prime is 2113002113081. The next prime is 2113002113149. The reversal of 2113002113101 is 1013112003112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67158204201 + 2045843908900 = 259149^2 + 1430330^2 .

It is not a de Polignac number, because 2113002113101 - 2²³ = 2112993724493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113002113701) 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, 2476465 + ... + 3218521.

It is an arithmetic number, because the mean of its divisors is an integer number (98150898573).

Almost surely, 2^{2113002113101} is an apocalyptic number.

It is an amenable number.

2113002113101 is a deficient number, since it is larger than the sum of its proper divisors (242619452651).

2113002113101 is a wasteful number, since it uses less digits than its factorization.

2113002113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742413 (or 742402 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2113002113101 its reverse (1013112003112), we get a palindrome (3126114116213).

The spelling of 2113002113101 in words is "two trillion, one hundred thirteen billion, two million, one hundred thirteen thousand, one hundred one".