2112100120013 has 8 divisors (see below), whose sum is σ = 2275983036600. Its totient is φ = 1948419157248.

The previous prime is 2112100120001. The next prime is 2112100120057. The reversal of 2112100120013 is 3100210012112.

It can be written as a sum of positive squares in 4 ways, for example, as 130756729609 + 1981343390404 = 361603^2 + 1407602^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2112100120013 - 2²⁴ = 2112083342797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2112100120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100120213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50466728 + ... + 50508561.

It is an arithmetic number, because the mean of its divisors is an integer number (284497879575).

Almost surely, 2^{2112100120013} is an apocalyptic number.

It is an amenable number.

2112100120013 is a deficient number, since it is larger than the sum of its proper divisors (163882916587).

2112100120013 is a wasteful number, since it uses less digits than its factorization.

2112100120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100976911.

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

Adding to 2112100120013 its reverse (3100210012112), we get a palindrome (5212310132125).

The spelling of 2112100120013 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred twenty thousand, thirteen".