100100111001 has 8 divisors (see below), whose sum is σ = 145600161504. Its totient is φ = 60666733920.

The previous prime is 100100110987. The next prime is 100100111003. The reversal of 100100111001 is 100111001001.

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

It is not a de Polignac number, because 100100111001 - 2²¹ = 100098013849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100111003) 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, 1516668316 + ... + 1516668381.

It is an arithmetic number, because the mean of its divisors is an integer number (18200020188).

Almost surely, 2^100100111001 is an apocalyptic number.

100100111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100111001 is a deficient number, since it is larger than the sum of its proper divisors (45500050503).

100100111001 is a wasteful number, since it uses less digits than its factorization.

100100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033336711.

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

Adding to 100100111001 its reverse (100111001001), we get a palindrome (200211112002).

Subtracting 100100111001 from its reverse (100111001001), we obtain a square (10890000 = 3300²).

The spelling of 100100111001 in words is "one hundred billion, one hundred million, one hundred eleven thousand, one".