10000111100001 has 96 divisors (see below), whose sum is σ = 15441779412864. Its totient is φ = 5745943526400.

The previous prime is 10000111099949. The next prime is 10000111100011.

10000111100001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10000111100001 - 2¹⁰ = 10000111098977 is a prime.

10000111100001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (10000111100011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87607101 + ... + 87721173.

It is an arithmetic number, because the mean of its divisors is an integer number (160851868884).

Almost surely, 2^{10000111100001} is an apocalyptic number.

10000111100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000111100001 is a deficient number, since it is larger than the sum of its proper divisors (5441668312863).

10000111100001 is a wasteful number, since it uses less digits than its factorization.

10000111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114303 (or 114292 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 1000011 and 1100001, that multiplied together give a palindrome (1100013100011).

The spelling of 10000111100001 in words is "ten trillion, one hundred eleven million, one hundred thousand, one".