2111012101113 has 16 divisors (see below), whose sum is σ = 2940371629056. Its totient is φ = 1344634958480.

The previous prime is 2111012101103. The next prime is 2111012101127. The reversal of 2111012101113 is 3111012101112.

It is a cyclic number.

It is not a de Polignac number, because 2111012101113 - 2⁶ = 2111012101049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111012101092 and 2111012101101.

It is not an unprimeable number, because it can be changed into a prime (2111012101103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17184783 + ... + 17307188.

It is an arithmetic number, because the mean of its divisors is an integer number (183773226816).

Almost surely, 2^{2111012101113} is an apocalyptic number.

2111012101113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2111012101113 is a deficient number, since it is larger than the sum of its proper divisors (829359527943).

2111012101113 is a wasteful number, since it uses less digits than its factorization.

2111012101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34492884.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 2111012101113 its reverse (3111012101112), we get a palindrome (5222024202225).

Subtracting 2111012101113 from its reverse (3111012101112), we obtain a palindrome (999999999999).

The spelling of 2111012101113 in words is "two trillion, one hundred eleven billion, twelve million, one hundred one thousand, one hundred thirteen".