101000111011101 has 64 divisors (see below), whose sum is σ = 158724222451200. Its totient is φ = 63255601382400.

The previous prime is 101000111010983. The next prime is 101000111011117. The reversal of 101000111011101 is 101110111000101.

It is not a de Polignac number, because 101000111011101 - 2¹¹ = 101000111009053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000111031101) 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 63 ways as a sum of consecutive naturals, for example, 1155286371 + ... + 1155373791.

It is an arithmetic number, because the mean of its divisors is an integer number (2480065975800).

Almost surely, 2^{101000111011101} is an apocalyptic number.

It is an amenable number.

101000111011101 is a deficient number, since it is larger than the sum of its proper divisors (57724111440099).

101000111011101 is a wasteful number, since it uses less digits than its factorization.

101000111011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92067 (or 92061 counting only the distinct ones).

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

Adding to 101000111011101 its reverse (101110111000101), we get a palindrome (202110222011202).

The spelling of 101000111011101 in words is "one hundred one trillion, one hundred eleven million, eleven thousand, one hundred one".