100001022110109 has 12 divisors (see below), whose sum is σ = 145500270614556. Its totient is φ = 66180725093952.

The previous prime is 100001022110107. The next prime is 100001022110161. The reversal of 100001022110109 is 901011220100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19941386874084 + 80059635236025 = 4465578^2 + 8947605^2 .

It is not a de Polignac number, because 100001022110109 - 2¹ = 100001022110107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001022110091 and 100001022110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001022110107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40551913654 + ... + 40551916119.

It is an arithmetic number, because the mean of its divisors is an integer number (12125022551213).

Almost surely, 2^{100001022110109} is an apocalyptic number.

It is an amenable number.

100001022110109 is a deficient number, since it is larger than the sum of its proper divisors (45499248504447).

100001022110109 is a wasteful number, since it uses less digits than its factorization.

100001022110109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81103829916 (or 81103829913 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 100001022110109 in words is "one hundred trillion, one billion, twenty-two million, one hundred ten thousand, one hundred nine".