100112222022041 has 2 divisors, whose sum is σ = 100112222022042. Its totient is φ = 100112222022040.

The previous prime is 100112222021909. The next prime is 100112222022341. The reversal of 100112222022041 is 140220222211001.

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., 79356543916441 + 20755678105600 = 8908229^2 + 4555840^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112222022041 - 2²² = 100112217827737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100112222022341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056111011020 + 50056111011021.

It is an arithmetic number, because the mean of its divisors is an integer number (50056111011021).

Almost surely, 2^{100112222022041} is an apocalyptic number.

It is an amenable number.

100112222022041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112222022041 is an equidigital number, since it uses as much as digits as its factorization.

100112222022041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100112222022041 its reverse (140220222211001), we get a palindrome (240332444233042).

The spelling of 100112222022041 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, twenty-two thousand, forty-one".