100011000000001 has 16 divisors (see below), whose sum is σ = 100224722707200. Its totient is φ = 99797543539200.

The previous prime is 100010999999969. The next prime is 100011000000073. The reversal of 100011000000001 is 100000000110001.

It is a cyclic number.

It is not a de Polignac number, because 100011000000001 - 2⁵ = 100010999999969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011000000701) 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, 8841918136 + ... + 8841929446.

It is an arithmetic number, because the mean of its divisors is an integer number (6264045169200).

Almost surely, 2^{100011000000001} is an apocalyptic number.

It is an amenable number.

100011000000001 is a deficient number, since it is larger than the sum of its proper divisors (213722707199).

100011000000001 is a wasteful number, since it uses less digits than its factorization.

100011000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21480.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100011000000001 its reverse (100000000110001), we get a palindrome (200011000110002).

It can be divided in two parts, 10001 and 1000000001, that multiplied together give a palindrome (10001000010001).

The spelling of 100011000000001 in words is "one hundred trillion, eleven billion, one", and thus it is an aban number.