100101121109 has 16 divisors (see below), whose sum is σ = 110740322880. Its totient is φ = 89725920000.

The previous prime is 100101121069. The next prime is 100101121139. The reversal of 100101121109 is 901121101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101121109 - 2²⁰ = 100100072533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101121139) 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, 80822 + ... + 454680.

It is an arithmetic number, because the mean of its divisors is an integer number (6921270180).

Almost surely, 2^100101121109 is an apocalyptic number.

It is an amenable number.

100101121109 is a deficient number, since it is larger than the sum of its proper divisors (10639201771).

100101121109 is a wasteful number, since it uses less digits than its factorization.

100101121109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374212.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 100101121109 in words is "one hundred billion, one hundred one million, one hundred twenty-one thousand, one hundred nine".