2102124212013 has 32 divisors (see below), whose sum is σ = 3284562555904. Its totient is φ = 1171086377472.

The previous prime is 2102124211973. The next prime is 2102124212017. The reversal of 2102124212013 is 3102124212012.

It is a happy number.

It is not a de Polignac number, because 2102124212013 - 2²⁶ = 2102057103149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102124212017) 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, 7564795 + ... + 7837752.

It is an arithmetic number, because the mean of its divisors is an integer number (102642579872).

Almost surely, 2^{2102124212013} is an apocalyptic number.

It is an amenable number.

2102124212013 is a deficient number, since it is larger than the sum of its proper divisors (1182438343891).

2102124212013 is a wasteful number, since it uses less digits than its factorization.

2102124212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15402721.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2102124212013 its reverse (3102124212012), we get a palindrome (5204248424025).

Subtracting 2102124212013 from its reverse (3102124212012), we obtain a palindrome (999999999999).

The spelling of 2102124212013 in words is "two trillion, one hundred two billion, one hundred twenty-four million, two hundred twelve thousand, thirteen".