101100111113 has 4 divisors (see below), whose sum is σ = 101101150980. Its totient is φ = 101099071248.

The previous prime is 101100111107. The next prime is 101100111157. The reversal of 101100111113 is 311111001101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 57279806224 + 43820304889 = 239332^2 + 209333^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100111113 - 2⁴ = 101100111097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100111094 and 101100111103.

It is not an unprimeable number, because it can be changed into a prime (101100111173) 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, 357098 + ... + 574211.

It is an arithmetic number, because the mean of its divisors is an integer number (25275287745).

Almost surely, 2^101100111113 is an apocalyptic number.

It is an amenable number.

101100111113 is a deficient number, since it is larger than the sum of its proper divisors (1039867).

101100111113 is an equidigital number, since it uses as much as digits as its factorization.

101100111113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039866.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 101100111113 its reverse (311111001101), we get a palindrome (412211112214).

The spelling of 101100111113 in words is "one hundred one billion, one hundred million, one hundred eleven thousand, one hundred thirteen".