101111010000111 has 24 divisors (see below), whose sum is σ = 157891066676720. Its totient is φ = 62133650522496.

The previous prime is 101111010000071. The next prime is 101111010000113. The reversal of 101111010000111 is 111000010111101.

It is not a de Polignac number, because 101111010000111 - 2⁹ = 101111009999599 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101111010000093 and 101111010000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111010000113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7990432270 + ... + 7990444923.

Almost surely, 2^{101111010000111} is an apocalyptic number.

101111010000111 is a deficient number, since it is larger than the sum of its proper divisors (56780056676609).

101111010000111 is a wasteful number, since it uses less digits than its factorization.

101111010000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15980877255 (or 15980877252 counting only the distinct ones).

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

Adding to 101111010000111 its reverse (111000010111101), we get a palindrome (212111020111212).

The spelling of 101111010000111 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred eleven", and thus it is an aban number.