101001100110111 has 12 divisors (see below), whose sum is σ = 145912459411992. Its totient is φ = 67323921443856.

The previous prime is 101001100110103. The next prime is 101001100110181. The reversal of 101001100110111 is 111011001100101.

It is not a de Polignac number, because 101001100110111 - 2³ = 101001100110103 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 = 101001100110093 and 101001100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100110181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 845378301 + ... + 845497766.

It is an arithmetic number, because the mean of its divisors is an integer number (12159371617666).

Almost surely, 2^{101001100110111} is an apocalyptic number.

101001100110111 is a deficient number, since it is larger than the sum of its proper divisors (44911359301881).

101001100110111 is a wasteful number, since it uses less digits than its factorization.

101001100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690882710 (or 1690882707 counting only the distinct ones).

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

Adding to 101001100110111 its reverse (111011001100101), we get a palindrome (212012101210212).

The spelling of 101001100110111 in words is "one hundred one trillion, one billion, one hundred million, one hundred ten thousand, one hundred eleven".