201122103103013 has 96 divisors (see below), whose sum is σ = 222208459349760. Its totient is φ = 181431486213120.

The previous prime is 201122103103007. The next prime is 201122103103079. The reversal of 201122103103013 is 310301301221102.

It is a happy number.

201122103103013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201122103103013 - 2¹⁴ = 201122103086629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122103103513) 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, 157495773131 + ... + 157495774407.

It is an arithmetic number, because the mean of its divisors is an integer number (2314671451560).

Almost surely, 2^{201122103103013} is an apocalyptic number.

It is an amenable number.

201122103103013 is a deficient number, since it is larger than the sum of its proper divisors (21086356246747).

201122103103013 is a wasteful number, since it uses less digits than its factorization.

201122103103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 201122103103013 its reverse (310301301221102), we get a palindrome (511423404324115).

The spelling of 201122103103013 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred three million, one hundred three thousand, thirteen".