101111000111101 has 8 divisors (see below), whose sum is σ = 102123974880000. Its totient is φ = 100098258200400.

The previous prime is 101111000110997. The next prime is 101111000111129.

It is a happy number.

101111000111101 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111000111101 is a prime.

101111000111101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000111501) 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, 57341701 + ... + 59078698.

It is an arithmetic number, because the mean of its divisors is an integer number (12765496860000).

Almost surely, 2^{101111000111101} is an apocalyptic number.

It is an amenable number.

101111000111101 is a deficient number, since it is larger than the sum of its proper divisors (1012974768899).

101111000111101 is a wasteful number, since it uses less digits than its factorization.

101111000111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116429099.

The product of its (nonzero) digits is 1, while the sum is 10.

It can be divided in two parts, 101111000 and 111101, that added together give a palindrome (101222101).

The spelling of 101111000111101 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven thousand, one hundred one".