2101101112013 has 4 divisors (see below), whose sum is σ = 2145805391040. Its totient is φ = 2056396832988.

The previous prime is 2101101111937. The next prime is 2101101112027. The reversal of 2101101112013 is 3102111011012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2101101112013 - 2¹⁶ = 2101101046477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101112073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22352139443 + ... + 22352139536.

It is an arithmetic number, because the mean of its divisors is an integer number (536451347760).

Almost surely, 2^{2101101112013} is an apocalyptic number.

It is an amenable number.

2101101112013 is a deficient number, since it is larger than the sum of its proper divisors (44704279027).

2101101112013 is an equidigital number, since it uses as much as digits as its factorization.

2101101112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44704279026.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 2101101112013 its reverse (3102111011012), we get a palindrome (5203212123025).

The spelling of 2101101112013 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, thirteen".