2100120102013 has 8 divisors (see below), whose sum is σ = 2223669318840. Its totient is φ = 1976572300800.

The previous prime is 2100120101987. The next prime is 2100120102061. The reversal of 2100120102013 is 3102010210012.

It can be written as a sum of positive squares in 4 ways, for example, as 703286858884 + 1396833243129 = 838622^2 + 1181877^2 .

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 2100120102013 - 2³⁷ = 1962681148541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100120101984 and 2100120102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100120102413) 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, 5116623 + ... + 5511811.

It is an arithmetic number, because the mean of its divisors is an integer number (277958664855).

Almost surely, 2^{2100120102013} is an apocalyptic number.

It is an amenable number.

2100120102013 is a deficient number, since it is larger than the sum of its proper divisors (123549216827).

2100120102013 is a wasteful number, since it uses less digits than its factorization.

2100120102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707807.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2100120102013 its reverse (3102010210012), we get a palindrome (5202130312025).

The spelling of 2100120102013 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred two thousand, thirteen".