10001100110001 has 128 divisors (see below), whose sum is σ = 18391841083392. Its totient is φ = 4665133440000.

The previous prime is 10001100109967. The next prime is 10001100110047.

10001100110001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10001100110001 - 2¹⁰ = 10001100108977 is a prime.

10001100110001 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 (10001100114001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1010105151 + ... + 1010115051.

It is an arithmetic number, because the mean of its divisors is an integer number (143686258464).

Almost surely, 2^{10001100110001} is an apocalyptic number.

10001100110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001100110001 is a deficient number, since it is larger than the sum of its proper divisors (8390740973391).

10001100110001 is a wasteful number, since it uses less digits than its factorization.

10001100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19063.

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

It can be divided in two parts, 10001100 and 110001, that added together give a palindrome (10111101).

The spelling of 10001100110001 in words is "ten trillion, one billion, one hundred million, one hundred ten thousand, one".