100101022109 has 16 divisors (see below), whose sum is σ = 110255893440. Its totient is φ = 90122751360.

The previous prime is 100101022031. The next prime is 100101022117. The reversal of 100101022109 is 901220101001.

It is a cyclic number.

It is not a de Polignac number, because 100101022109 - 2¹⁶ = 100100956573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101022199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2622449 + ... + 2660345.

It is an arithmetic number, because the mean of its divisors is an integer number (6890993340).

Almost surely, 2^100101022109 is an apocalyptic number.

It is an amenable number.

100101022109 is a deficient number, since it is larger than the sum of its proper divisors (10154871331).

100101022109 is a wasteful number, since it uses less digits than its factorization.

100101022109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40220.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 100101022109 in words is "one hundred billion, one hundred one million, twenty-two thousand, one hundred nine".