101000110011111 has 48 divisors (see below), whose sum is σ = 149942031482880. Its totient is φ = 65465489960640.

The previous prime is 101000110011061. The next prime is 101000110011149. The reversal of 101000110011111 is 111110011000101.

It is not a de Polignac number, because 101000110011111 - 2¹⁴ = 101000109994727 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 = 101000110011093 and 101000110011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000110016111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2790734026 + ... + 2790770216.

It is an arithmetic number, because the mean of its divisors is an integer number (3123792322560).

Almost surely, 2^{101000110011111} is an apocalyptic number.

101000110011111 is a deficient number, since it is larger than the sum of its proper divisors (48941921471769).

101000110011111 is a wasteful number, since it uses less digits than its factorization.

101000110011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42156 (or 42153 counting only the distinct ones).

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

Adding to 101000110011111 its reverse (111110011000101), we get a palindrome (212110121011212).

The spelling of 101000110011111 in words is "one hundred one trillion, one hundred ten million, eleven thousand, one hundred eleven".