2100210212013 has 16 divisors (see below), whose sum is σ = 2826259820736. Its totient is φ = 1387185246720.

The previous prime is 2100210212011. The next prime is 2100210212033. The reversal of 2100210212013 is 3102120120012.

It is not a de Polignac number, because 2100210212013 - 2¹ = 2100210212011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100210211983 and 2100210212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100210212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4118020 + ... + 4599837.

It is an arithmetic number, because the mean of its divisors is an integer number (176641238796).

Almost surely, 2^{2100210212013} is an apocalyptic number.

It is an amenable number.

2100210212013 is a deficient number, since it is larger than the sum of its proper divisors (726049608723).

2100210212013 is a wasteful number, since it uses less digits than its factorization.

2100210212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718604.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2100210212013 its reverse (3102120120012), we get a palindrome (5202330332025).

The spelling of 2100210212013 in words is "two trillion, one hundred billion, two hundred ten million, two hundred twelve thousand, thirteen".