10010111100109 has 8 divisors (see below), whose sum is σ = 10186787613240. Its totient is φ = 9833840275200.

The previous prime is 10010111099977. The next prime is 10010111100127. The reversal of 10010111100109 is 90100111101001.

It can be written as a sum of positive squares in 4 ways, for example, as 2239655625 + 10007871444484 = 47325^2 + 3163522^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010111100109 - 2¹¹ = 10010111098061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010111100092 and 10010111100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010111100709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101372272 + ... + 101470969.

It is an arithmetic number, because the mean of its divisors is an integer number (1273348451655).

Almost surely, 2^{10010111100109} is an apocalyptic number.

It is an amenable number.

10010111100109 is a deficient number, since it is larger than the sum of its proper divisors (176676513131).

10010111100109 is an equidigital number, since it uses as much as digits as its factorization.

10010111100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202844111.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 10010111100109 in words is "ten trillion, ten billion, one hundred eleven million, one hundred thousand, one hundred nine".