101110000111001 has 8 divisors (see below), whose sum is σ = 122351596773120. Its totient is φ = 81567731181888.

The previous prime is 101110000110949. The next prime is 101110000111013. The reversal of 101110000111001 is 100111000011101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101110000111001 - 2¹⁰ = 101110000109977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101110000111001.

It is not an unprimeable number, because it can be changed into a prime (101110000101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424831933121 + ... + 424831933358.

It is an arithmetic number, because the mean of its divisors is an integer number (15293949596640).

Almost surely, 2^{101110000111001} is an apocalyptic number.

It is an amenable number.

101110000111001 is a deficient number, since it is larger than the sum of its proper divisors (21241596662119).

101110000111001 is an equidigital number, since it uses as much as digits as its factorization.

101110000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849663866503.

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

Adding to 101110000111001 its reverse (100111000011101), we get a palindrome (201221000122102).

It can be divided in two parts, 10111000011100 and 1, that added together give a palindrome (10111000011101).

The spelling of 101110000111001 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven thousand, one".