101011101101001 has 24 divisors (see below), whose sum is σ = 179575290847680. Its totient is φ = 53280580800096.

The previous prime is 101011101100981. The next prime is 101011101101017. The reversal of 101011101101001 is 100101101110101.

It is not a de Polignac number, because 101011101101001 - 2²⁹ = 101010564230089 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101011101101051) 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 23 ways as a sum of consecutive naturals, for example, 61667338071 + ... + 61667339708.

It is an arithmetic number, because the mean of its divisors is an integer number (7482303785320).

Almost surely, 2^{101011101101001} is an apocalyptic number.

It is an amenable number.

101011101101001 is a deficient number, since it is larger than the sum of its proper divisors (78564189746679).

101011101101001 is a wasteful number, since it uses less digits than its factorization.

101011101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123334677805 (or 123334677802 counting only the distinct ones).

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

Adding to 101011101101001 its reverse (100101101110101), we get a palindrome (201112202211102).

The spelling of 101011101101001 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred one thousand, one".