10111110100101 has 64 divisors (see below), whose sum is σ = 16369585632000. Its totient is φ = 6143813867520.

The previous prime is 10111110100057. The next prime is 10111110100123. The reversal of 10111110100101 is 10100101111101.

It is not a de Polignac number, because 10111110100101 - 2⁹ = 10111110099589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111110100601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2971101 + ... + 5389773.

It is an arithmetic number, because the mean of its divisors is an integer number (255774775500).

Almost surely, 2^{10111110100101} is an apocalyptic number.

It is an amenable number.

10111110100101 is a deficient number, since it is larger than the sum of its proper divisors (6258475531899).

10111110100101 is a wasteful number, since it uses less digits than its factorization.

10111110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419011 (or 2419005 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111110100101 its reverse (10100101111101), we get a palindrome (20211211211202).

The spelling of 10111110100101 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred one".