100112222021909 has 2 divisors, whose sum is σ = 100112222021910. Its totient is φ = 100112222021908.

The previous prime is 100112222021899. The next prime is 100112222022041. The reversal of 100112222021909 is 909120222211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70052463970225 + 30059758051684 = 8369735^2 + 5482678^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112222021909 - 2²⁸ = 100111953586453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112222029909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056111010954 + 50056111010955.

It is an arithmetic number, because the mean of its divisors is an integer number (50056111010955).

Almost surely, 2^{100112222021909} is an apocalyptic number.

It is an amenable number.

100112222021909 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112222021909 is an equidigital number, since it uses as much as digits as its factorization.

100112222021909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 100112222021909 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, twenty-one thousand, nine hundred nine".