101110011110001 has 24 divisors (see below), whose sum is σ = 158818268652264. Its totient is φ = 61726938416640.

The previous prime is 101110011109993. The next prime is 101110011110057. The reversal of 101110011110001 is 100011110011101.

It can be written as a sum of positive squares in 4 ways, for example, as 22000086680625 + 79109924429376 = 4690425^2 + 8894376^2 .

It is not a de Polignac number, because 101110011110001 - 2³ = 101110011109993 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 (101110011117001) 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, 8930396310 + ... + 8930407631.

It is an arithmetic number, because the mean of its divisors is an integer number (6617427860511).

Almost surely, 2^{101110011110001} is an apocalyptic number.

It is an amenable number.

101110011110001 is a deficient number, since it is larger than the sum of its proper divisors (57708257542263).

101110011110001 is a wasteful number, since it uses less digits than its factorization.

101110011110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17860804001 (or 17860803998 counting only the distinct ones).

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

Adding to 101110011110001 its reverse (100011110011101), we get a palindrome (201121121121102).

The spelling of 101110011110001 in words is "one hundred one trillion, one hundred ten billion, eleven million, one hundred ten thousand, one".