101001111000111 has 32 divisors (see below), whose sum is σ = 174645622548480. Its totient is φ = 56486943533088.

The previous prime is 101001111000103. The next prime is 101001111000113. The reversal of 101001111000111 is 111000111100101.

It is not a de Polignac number, because 101001111000111 - 2³ = 101001111000103 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 = 101001111000093 and 101001111000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001111000113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5685069976 + ... + 5685087741.

It is an arithmetic number, because the mean of its divisors is an integer number (5457675704640).

Almost surely, 2^{101001111000111} is an apocalyptic number.

101001111000111 is a deficient number, since it is larger than the sum of its proper divisors (73644511548369).

101001111000111 is a wasteful number, since it uses less digits than its factorization.

101001111000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370157780 (or 11370157774 counting only the distinct ones).

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

Adding to 101001111000111 its reverse (111000111100101), we get a palindrome (212001222100212).

The spelling of 101001111000111 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred eleven", and thus it is an aban number.