100010011001 has 16 divisors (see below), whose sum is σ = 106373433600. Its totient is φ = 93858307200.

The previous prime is 100010010983. The next prime is 100010011007. The reversal of 100010011001 is 100110010001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010011007) 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, 167030 + ... + 477408.

It is an arithmetic number, because the mean of its divisors is an integer number (6648339600).

Almost surely, 2^100010011001 is an apocalyptic number.

It is an amenable number.

100010011001 is a deficient number, since it is larger than the sum of its proper divisors (6363422599).

100010011001 is a wasteful number, since it uses less digits than its factorization.

100010011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310720.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010011001 its reverse (100110010001), we get a palindrome (200120021002).

It can be divided in two parts, 1000100 and 11001, that added together give a palindrome (1011101).

The spelling of 100010011001 in words is "one hundred billion, ten million, eleven thousand, one".