101111010110113 has 16 divisors (see below), whose sum is σ = 104870404705792. Its totient is φ = 97383225888000.

The previous prime is 101111010110081. The next prime is 101111010110137. The reversal of 101111010110113 is 311011010111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101111010110113 - 2⁵ = 101111010110081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111010110093 and 101111010110102.

It is not an unprimeable number, because it can be changed into a prime (101111010110183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7935970 + ... + 16285012.

It is an arithmetic number, because the mean of its divisors is an integer number (6554400294112).

Almost surely, 2^{101111010110113} is an apocalyptic number.

It is an amenable number.

101111010110113 is a deficient number, since it is larger than the sum of its proper divisors (3759394595679).

101111010110113 is a wasteful number, since it uses less digits than its factorization.

101111010110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350936.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 101111010110113 its reverse (311011010111101), we get a palindrome (412122020221214).

The spelling of 101111010110113 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred ten thousand, one hundred thirteen".