100010111110001 has 16 divisors (see below), whose sum is σ = 106956149852880. Its totient is φ = 93182448844800.

The previous prime is 100010111109991. The next prime is 100010111110009. The reversal of 100010111110001 is 100011111010001.

It can be written as a sum of positive squares in 8 ways, for example, as 21808190165776 + 78201920944225 = 4669924^2 + 8843185^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010111110001 - 2¹⁰ = 100010111108977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010111110009) 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, 8564945 + ... + 16534161.

It is an arithmetic number, because the mean of its divisors is an integer number (6684759365805).

Almost surely, 2^{100010111110001} is an apocalyptic number.

It is an amenable number.

100010111110001 is a deficient number, since it is larger than the sum of its proper divisors (6946038742879).

100010111110001 is a wasteful number, since it uses less digits than its factorization.

100010111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976644.

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

Adding to 100010111110001 its reverse (100011111010001), we get a palindrome (200021222120002).

The spelling of 100010111110001 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred ten thousand, one".