2100211121013 has 32 divisors (see below), whose sum is σ = 2813236608000. Its totient is φ = 1393684845696.

The previous prime is 2100211121003. The next prime is 2100211121039. The reversal of 2100211121013 is 3101211120012.

It is not a de Polignac number, because 2100211121013 - 2⁵ = 2100211120981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100211120983 and 2100211121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100211121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416190170 + ... + 1416191652.

It is an arithmetic number, because the mean of its divisors is an integer number (87913644000).

Almost surely, 2^{2100211121013} is an apocalyptic number.

It is an amenable number.

2100211121013 is a deficient number, since it is larger than the sum of its proper divisors (713025486987).

2100211121013 is a wasteful number, since it uses less digits than its factorization.

2100211121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2100211121013 its reverse (3101211120012), we get a palindrome (5201422241025).

The spelling of 2100211121013 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, thirteen".