100110303011001 has 32 divisors (see below), whose sum is σ = 136441084417920. Its totient is φ = 65268343655424.

The previous prime is 100110303010969. The next prime is 100110303011041.

100110303011001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100110303011001 - 2⁵ = 100110303010969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110303011041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70366635 + ... + 71775231.

It is an arithmetic number, because the mean of its divisors is an integer number (4263783888060).

Almost surely, 2^{100110303011001} is an apocalyptic number.

It is an amenable number.

100110303011001 is a deficient number, since it is larger than the sum of its proper divisors (36330781406919).

100110303011001 is a wasteful number, since it uses less digits than its factorization.

100110303011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410105.

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 10011030 and 3011001, that added together give a palindrome (13022031).

The spelling of 100110303011001 in words is "one hundred trillion, one hundred ten billion, three hundred three million, eleven thousand, one".