2101112110109 has 4 divisors (see below), whose sum is σ = 2101115037180. Its totient is φ = 2101109183040.

The previous prime is 2101112110103. The next prime is 2101112110121. The reversal of 2101112110109 is 9010112111012.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 414152741209 + 1686959368900 = 643547^2 + 1298830^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112110109 - 2¹⁶ = 2101112044573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101112110103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428699 + ... + 2094279.

It is an arithmetic number, because the mean of its divisors is an integer number (525278759295).

Almost surely, 2^{2101112110109} is an apocalyptic number.

It is an amenable number.

2101112110109 is a deficient number, since it is larger than the sum of its proper divisors (2927071).

2101112110109 is a wasteful number, since it uses less digits than its factorization.

2101112110109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927070.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 2101112110109 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred ten thousand, one hundred nine".