101112022020109 has 2 divisors, whose sum is σ = 101112022020110. Its totient is φ = 101112022020108.

The previous prime is 101112022020071. The next prime is 101112022020167. The reversal of 101112022020109 is 901020220211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101095423562884 + 16598457225 = 10054622^2 + 128835^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112022020109 - 2¹⁵ = 101112021987341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101112022020109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112022024109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556011010054 + 50556011010055.

It is an arithmetic number, because the mean of its divisors is an integer number (50556011010055).

Almost surely, 2^{101112022020109} is an apocalyptic number.

It is an amenable number.

101112022020109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112022020109 is an equidigital number, since it uses as much as digits as its factorization.

101112022020109 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 101112022020109 in words is "one hundred one trillion, one hundred twelve billion, twenty-two million, twenty thousand, one hundred nine".