101000110111011 has 24 divisors (see below), whose sum is σ = 150006421675760. Its totient is φ = 65437317481536.

The previous prime is 101000110110983. The next prime is 101000110111039. The reversal of 101000110111011 is 110111011000101.

It is an interprime number because it is at equal distance from previous prime (101000110110983) and next prime (101000110111039).

It is not a de Polignac number, because 101000110111011 - 2³³ = 100991520176419 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 = 101000110110984 and 101000110111002.

It is not an unprimeable number, because it can be changed into a prime (101000110111081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176258560 + ... + 176830653.

Almost surely, 2^{101000110111011} is an apocalyptic number.

101000110111011 is a deficient number, since it is larger than the sum of its proper divisors (49006311564749).

101000110111011 is a wasteful number, since it uses less digits than its factorization.

101000110111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353090115 (or 353090112 counting only the distinct ones).

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

Adding to 101000110111011 its reverse (110111011000101), we get a palindrome (211111121111112).

It can be divided in two parts, 101000 and 110111011, that added together give a palindrome (110212011).

The spelling of 101000110111011 in words is "one hundred one trillion, one hundred ten million, one hundred eleven thousand, eleven".