100112220007201 has 2 divisors, whose sum is σ = 100112220007202. Its totient is φ = 100112220007200.

The previous prime is 100112220007147. The next prime is 100112220007211. The reversal of 100112220007201 is 102700022211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91263171686976 + 8849048320225 = 9553176^2 + 2974735^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112220007201 - 2¹³ = 100112219999009 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112220007211) 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, 50056110003600 + 50056110003601.

It is an arithmetic number, because the mean of its divisors is an integer number (50056110003601).

Almost surely, 2^{100112220007201} is an apocalyptic number.

It is an amenable number.

100112220007201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112220007201 is an equidigital number, since it uses as much as digits as its factorization.

100112220007201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 100112220007201 its reverse (102700022211001), we get a palindrome (202812242218202).

The spelling of 100112220007201 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, seven thousand, two hundred one".