2012100020113 has 8 divisors (see below), whose sum is σ = 2040565288320. Its totient is φ = 1983638247360.

The previous prime is 2012100020093. The next prime is 2012100020123. The reversal of 2012100020113 is 3110200012102.

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 2012100020113 - 2²⁵ = 2012066465681 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012100020093 and 2012100020102.

It is not an unprimeable number, because it can be changed into a prime (2012100020123) 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, 296556 + ... + 2027842.

It is an arithmetic number, because the mean of its divisors is an integer number (255070661040).

Almost surely, 2^{2012100020113} is an apocalyptic number.

It is an amenable number.

2012100020113 is a deficient number, since it is larger than the sum of its proper divisors (28465268207).

2012100020113 is a wasteful number, since it uses less digits than its factorization.

2012100020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747727.

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

Adding to 2012100020113 its reverse (3110200012102), we get a palindrome (5122300032215).

The spelling of 2012100020113 in words is "two trillion, twelve billion, one hundred million, twenty thousand, one hundred thirteen".