100001111111001 has 8 divisors (see below), whose sum is σ = 148149794238560. Its totient is φ = 66667407407316.

The previous prime is 100001111110949. The next prime is 100001111111003. The reversal of 100001111111001 is 100111111100001.

It is not a de Polignac number, because 100001111111001 - 2¹⁴ = 100001111094617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001111111003) 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, 1851872427955 + ... + 1851872428008.

It is an arithmetic number, because the mean of its divisors is an integer number (18518724279820).

Almost surely, 2^{100001111111001} is an apocalyptic number.

It is an amenable number.

100001111111001 is a deficient number, since it is larger than the sum of its proper divisors (48148683127559).

100001111111001 is an equidigital number, since it uses as much as digits as its factorization.

100001111111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703744855972 (or 3703744855966 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100001111111001 its reverse (100111111100001), we get a palindrome (200112222211002).

The spelling of 100001111111001 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred eleven thousand, one".