100110010111001 has 16 divisors (see below), whose sum is σ = 118667213721600. Its totient is φ = 83437884637200.

The previous prime is 100110010110983. The next prime is 100110010111031. The reversal of 100110010111001 is 100111010011001.

It is a cyclic number.

It is not a de Polignac number, because 100110010111001 - 2⁶ = 100110010110937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100110010111001.

It is not an unprimeable number, because it can be changed into a prime (100110010111031) 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 15 ways as a sum of consecutive naturals, for example, 7725723581 + ... + 7725736538.

It is an arithmetic number, because the mean of its divisors is an integer number (7416700857600).

Almost surely, 2^{100110010111001} is an apocalyptic number.

100110010111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110010111001 is a deficient number, since it is larger than the sum of its proper divisors (18557203610599).

100110010111001 is a wasteful number, since it uses less digits than its factorization.

100110010111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15451460180.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100110010111001 its reverse (100111010011001), we get a palindrome (200221020122002).

The spelling of 100110010111001 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred eleven thousand, one".