100112222010001 has 2 divisors, whose sum is σ = 100112222010002. Its totient is φ = 100112222010000.

The previous prime is 100112222009959. The next prime is 100112222010019. The reversal of 100112222010001 is 100010222211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77664298180225 + 22447923829776 = 8812735^2 + 4737924^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112222010001 - 2³⁵ = 100077862271633 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112222010041) 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, 50056111005000 + 50056111005001.

It is an arithmetic number, because the mean of its divisors is an integer number (50056111005001).

Almost surely, 2^{100112222010001} is an apocalyptic number.

It is an amenable number.

100112222010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112222010001 is an equidigital number, since it uses as much as digits as its factorization.

100112222010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100112222010001 its reverse (100010222211001), we get a palindrome (200122444221002).

The spelling of 100112222010001 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, ten thousand, one".