100109910901 has 32 divisors (see below), whose sum is σ = 141487718400. Its totient is φ = 68217266880.

The previous prime is 100109910893. The next prime is 100109910917. The reversal of 100109910901 is 109019901001.

It is not a de Polignac number, because 100109910901 - 2³ = 100109910893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100109910931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2612821 + ... + 2650858.

It is an arithmetic number, because the mean of its divisors is an integer number (4421491200).

Almost surely, 2^100109910901 is an apocalyptic number.

100109910901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100109910901 is a deficient number, since it is larger than the sum of its proper divisors (41377807499).

100109910901 is a wasteful number, since it uses less digits than its factorization.

100109910901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263729.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 100109910901 in words is "one hundred billion, one hundred nine million, nine hundred ten thousand, nine hundred one".