101111110001 has 16 divisors (see below), whose sum is σ = 117043792128. Its totient is φ = 86325254400.

The previous prime is 101111109929. The next prime is 101111110021. The reversal of 101111110001 is 100011111101.

It is not a de Polignac number, because 101111110001 - 2¹⁸ = 101110847857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111110021) 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, 497330 + ... + 670491.

It is an arithmetic number, because the mean of its divisors is an integer number (7315237008).

Almost surely, 2^101111110001 is an apocalyptic number.

101111110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111110001 is a deficient number, since it is larger than the sum of its proper divisors (15932682127).

101111110001 is a wasteful number, since it uses less digits than its factorization.

101111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168312.

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

Adding to 101111110001 its reverse (100011111101), we get a palindrome (201122221102).

It can be divided in two parts, 101111 and 110001, that added together give a palindrome (211112).

The spelling of 101111110001 in words is "one hundred one billion, one hundred eleven million, one hundred ten thousand, one".