100101100001111 has 24 divisors (see below), whose sum is σ = 111310459205232. Its totient is φ = 89943841152000.

The previous prime is 100101100001093. The next prime is 100101100001153. The reversal of 100101100001111 is 111100001101001.

It is not a de Polignac number, because 100101100001111 - 2¹⁴ = 100101099984727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100009111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46325 + ... + 14149358.

It is an arithmetic number, because the mean of its divisors is an integer number (4637935800218).

Almost surely, 2^{100101100001111} is an apocalyptic number.

100101100001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101100001111 is a deficient number, since it is larger than the sum of its proper divisors (11209359204121).

100101100001111 is a wasteful number, since it uses less digits than its factorization.

100101100001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196383 (or 14196372 counting only the distinct ones).

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

Adding to 100101100001111 its reverse (111100001101001), we get a palindrome (211201101102112).

The spelling of 100101100001111 in words is "one hundred trillion, one hundred one billion, one hundred million, one thousand, one hundred eleven".