2100212101013 has 16 divisors (see below), whose sum is σ = 2293544410416. Its totient is φ = 1911437844480.

The previous prime is 2100212100967. The next prime is 2100212101051. The reversal of 2100212101013 is 3101012120012.

It can be written as a sum of positive squares in 8 ways, for example, as 166935982084 + 1933276118929 = 408578^2 + 1390423^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100212101013 - 2¹⁸ = 2100211838869 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 (2100212101073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367293 + ... + 3131213.

It is an arithmetic number, because the mean of its divisors is an integer number (143346525651).

Almost surely, 2^{2100212101013} is an apocalyptic number.

It is an amenable number.

2100212101013 is a deficient number, since it is larger than the sum of its proper divisors (193332309403).

2100212101013 is a wasteful number, since it uses less digits than its factorization.

2100212101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766904.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2100212101013 its reverse (3101012120012), we get a palindrome (5201224221025).

The spelling of 2100212101013 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred one thousand, thirteen".