100110010011001 has 8 divisors (see below), whose sum is σ = 101105194881600. Its totient is φ = 99115272121872.

The previous prime is 100110010010951. The next prime is 100110010011013.

It is a happy number.

100110010011001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110010011001 - 2⁷ = 100110010010873 is a prime.

100110010011001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110710011001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111295195 + ... + 112191088.

It is an arithmetic number, because the mean of its divisors is an integer number (12638149360200).

Almost surely, 2^{100110010011001} is an apocalyptic number.

It is an amenable number.

100110010011001 is a deficient number, since it is larger than the sum of its proper divisors (995184870599).

100110010011001 is a wasteful number, since it uses less digits than its factorization.

100110010011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223490735.

The product of its (nonzero) digits is 1, while the sum is 7.

The spelling of 100110010011001 in words is "one hundred trillion, one hundred ten billion, ten million, eleven thousand, one".