101100100110111 has 12 divisors (see below), whose sum is σ = 146447170513488. Its totient is φ = 67209131704704.

The previous prime is 101100100110073. The next prime is 101100100110143. The reversal of 101100100110111 is 111011001001101.

It is not a de Polignac number, because 101100100110111 - 2³⁰ = 101099026368287 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 = 101100100110093 and 101100100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100100110161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15911249595 + ... + 15911255948.

It is an arithmetic number, because the mean of its divisors is an integer number (12203930876124).

Almost surely, 2^{101100100110111} is an apocalyptic number.

101100100110111 is a deficient number, since it is larger than the sum of its proper divisors (45347070403377).

101100100110111 is a wasteful number, since it uses less digits than its factorization.

101100100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31822505902 (or 31822505899 counting only the distinct ones).

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

Adding to 101100100110111 its reverse (111011001001101), we get a palindrome (212111101111212).

It can be divided in two parts, 1011001001101 and 11, that multiplied together give a palindrome (11121011012111).

The spelling of 101100100110111 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred ten thousand, one hundred eleven".