100111001001001 has 4 divisors (see below), whose sum is σ = 100311624250000. Its totient is φ = 99910377752004.

The previous prime is 100111001000999. The next prime is 100111001001031. The reversal of 100111001001001 is 100100100111001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100111001001001 - 2¹ = 100111001000999 is a prime.

It is a Duffinian number.

100111001001001 is a modest number, since divided by 1001001 gives 100111 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100111001001031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100311623751 + ... + 100311624748.

It is an arithmetic number, because the mean of its divisors is an integer number (25077906062500).

Almost surely, 2^{100111001001001} is an apocalyptic number.

It is an amenable number.

100111001001001 is a deficient number, since it is larger than the sum of its proper divisors (200623248999).

100111001001001 is an equidigital number, since it uses as much as digits as its factorization.

100111001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200623248998.

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

Adding to 100111001001001 its reverse (100100100111001), we get a palindrome (200211101112002).

The spelling of 100111001001001 in words is "one hundred trillion, one hundred eleven billion, one million, one thousand, one".