101100010110111 has 8 divisors (see below), whose sum is σ = 149777792755760. Its totient is φ = 67400006740056.

The previous prime is 101100010110083. The next prime is 101100010110139. The reversal of 101100010110111 is 111011010001101.

It is an interprime number because it is at equal distance from previous prime (101100010110083) and next prime (101100010110139).

It is not a de Polignac number, because 101100010110111 - 2¹⁵ = 101100010077343 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100010110093 and 101100010110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100010110511) 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, 1872222409420 + ... + 1872222409473.

It is an arithmetic number, because the mean of its divisors is an integer number (18722224094470).

Almost surely, 2^{101100010110111} is an apocalyptic number.

101100010110111 is a deficient number, since it is larger than the sum of its proper divisors (48677782645649).

101100010110111 is an equidigital number, since it uses as much as digits as its factorization.

101100010110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744444818902 (or 3744444818896 counting only the distinct ones).

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

Adding to 101100010110111 its reverse (111011010001101), we get a palindrome (212111020111212).

The spelling of 101100010110111 in words is "one hundred one trillion, one hundred billion, ten million, one hundred ten thousand, one hundred eleven".