100100101001001 has 16 divisors (see below), whose sum is σ = 141318237201984. Its totient is φ = 62807707597824.

The previous prime is 100100101000997. The next prime is 100100101001023.

100100101001001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100100101001001 - 2² = 100100101000997 is a prime.

100100101001001 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 (100100101001701) 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, 14075841 + ... + 19958193.

It is an arithmetic number, because the mean of its divisors is an integer number (8832389825124).

Almost surely, 2^{100100101001001} is an apocalyptic number.

It is an amenable number.

100100101001001 is a deficient number, since it is larger than the sum of its proper divisors (41218136200983).

100100101001001 is a wasteful number, since it uses less digits than its factorization.

100100101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216040.

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

It can be divided in two parts, 10010010 and 1001001, that added together give a palindrome (11011011).

The spelling of 100100101001001 in words is "one hundred trillion, one hundred billion, one hundred one million, one thousand, one".