101111102013 has 8 divisors (see below), whose sum is σ = 135559636576. Its totient is φ = 67034984400.

The previous prime is 101111102003. The next prime is 101111102051. The reversal of 101111102013 is 310201111101.

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

It is not a de Polignac number, because 101111102013 - 2²⁸ = 100842666557 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101111102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111102003) 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, 93103603 + ... + 93104688.

It is an arithmetic number, because the mean of its divisors is an integer number (16944954572).

Almost surely, 2^101111102013 is an apocalyptic number.

It is an amenable number.

101111102013 is a deficient number, since it is larger than the sum of its proper divisors (34448534563).

101111102013 is a wasteful number, since it uses less digits than its factorization.

101111102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186208475.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101111102013 its reverse (310201111101), we get a palindrome (411312213114).

The spelling of 101111102013 in words is "one hundred one billion, one hundred eleven million, one hundred two thousand, thirteen".