101101000111001 has 16 divisors (see below), whose sum is σ = 110870560263168. Its totient is φ = 91427876332800.

The previous prime is 101101000110959. The next prime is 101101000111009. The reversal of 101101000111001 is 100111000101101.

It is not a de Polignac number, because 101101000111001 - 2³⁸ = 100826122204057 is a prime.

It is a super-4 number, since 4×101101000111001⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101000111001.

It is not an unprimeable number, because it can be changed into a prime (101101000111009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293575025 + ... + 293919201.

It is an arithmetic number, because the mean of its divisors is an integer number (6929410016448).

Almost surely, 2^{101101000111001} is an apocalyptic number.

101101000111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101000111001 is a deficient number, since it is larger than the sum of its proper divisors (9769560152167).

101101000111001 is a wasteful number, since it uses less digits than its factorization.

101101000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484192.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101101000111001 its reverse (100111000101101), we get a palindrome (201212000212102).

The spelling of 101101000111001 in words is "one hundred one trillion, one hundred one billion, one hundred eleven thousand, one".