101112000222109 has 2 divisors, whose sum is σ = 101112000222110. Its totient is φ = 101112000222108.

The previous prime is 101112000222097. The next prime is 101112000222119. The reversal of 101112000222109 is 901222000211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98582459476900 + 2529540745209 = 9928870^2 + 1590453^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112000222109 - 2³⁹ = 100562244408221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101112000222109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112000222119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556000111054 + 50556000111055.

It is an arithmetic number, because the mean of its divisors is an integer number (50556000111055).

Almost surely, 2^{101112000222109} is an apocalyptic number.

It is an amenable number.

101112000222109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112000222109 is an equidigital number, since it uses as much as digits as its factorization.

101112000222109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 101112000222109 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-two thousand, one hundred nine".