101112112200109 has 2 divisors, whose sum is σ = 101112112200110. Its totient is φ = 101112112200108.

The previous prime is 101112112200101. The next prime is 101112112200161. The reversal of 101112112200109 is 901002211211101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100640422080900 + 471690119209 = 10031970^2 + 686797^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112112200109 - 2³ = 101112112200101 is a prime.

It is a super-2 number, since 2×101112112200109² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101112112200109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112112200101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556056100054 + 50556056100055.

It is an arithmetic number, because the mean of its divisors is an integer number (50556056100055).

Almost surely, 2^{101112112200109} is an apocalyptic number.

It is an amenable number.

101112112200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112112200109 is an equidigital number, since it uses as much as digits as its factorization.

101112112200109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 101112112200109 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, two hundred thousand, one hundred nine".