2211102122013 has 12 divisors (see below), whose sum is σ = 3193961550780. Its totient is φ = 1474000062336.

The previous prime is 2211102121997. The next prime is 2211102122071. The reversal of 2211102122013 is 3102212011122.

It can be written as a sum of positive squares in 2 ways, for example, as 159509975769 + 2051592146244 = 399387^2 + 1432338^2 .

It is not a de Polignac number, because 2211102122013 - 2⁴ = 2211102121997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211102122093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5461978 + ... + 5852811.

It is an arithmetic number, because the mean of its divisors is an integer number (266163462565).

Almost surely, 2^{2211102122013} is an apocalyptic number.

It is an amenable number.

2211102122013 is a deficient number, since it is larger than the sum of its proper divisors (982859428767).

2211102122013 is a wasteful number, since it uses less digits than its factorization.

2211102122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336508 (or 11336505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2211102122013 its reverse (3102212011122), we get a palindrome (5313314133135).

The spelling of 2211102122013 in words is "two trillion, two hundred eleven billion, one hundred two million, one hundred twenty-two thousand, thirteen".