2201102113113 has 96 divisors (see below), whose sum is σ = 3498527803680. Its totient is φ = 1327949905920.

The previous prime is 2201102113087. The next prime is 2201102113121. The reversal of 2201102113113 is 3113112011022.

2201102113113 is a `hidden beast` number, since 220 + 110 + 21 + 1 + 311 + 3 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1999885273929 + 201216839184 = 1414173^2 + 448572^2 .

It is not a de Polignac number, because 2201102113113 - 2¹³ = 2201102104921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2201102113183) 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, 176973931 + ... + 176986367.

It is an arithmetic number, because the mean of its divisors is an integer number (36442997955).

Almost surely, 2^{2201102113113} is an apocalyptic number.

It is an amenable number.

2201102113113 is a deficient number, since it is larger than the sum of its proper divisors (1297425690567).

2201102113113 is a wasteful number, since it uses less digits than its factorization.

2201102113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12907 (or 12904 counting only the distinct ones).

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

Adding to 2201102113113 its reverse (3113112011022), we get a palindrome (5314214124135).

The spelling of 2201102113113 in words is "two trillion, two hundred one billion, one hundred two million, one hundred thirteen thousand, one hundred thirteen".