100222002212201 has 2 divisors, whose sum is σ = 100222002212202. Its totient is φ = 100222002212200.

The previous prime is 100222002212197. The next prime is 100222002212239. The reversal of 100222002212201 is 102212200222001.

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., 63000350300176 + 37221651912025 = 7937276^2 + 6100955^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222002212201 - 2² = 100222002212197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100222002212201.

It is not a weakly prime, because it can be changed into another prime (100222002212251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111001106100 + 50111001106101.

It is an arithmetic number, because the mean of its divisors is an integer number (50111001106101).

Almost surely, 2^{100222002212201} is an apocalyptic number.

It is an amenable number.

100222002212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222002212201 is an equidigital number, since it uses as much as digits as its factorization.

100222002212201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100222002212201 its reverse (102212200222001), we get a palindrome (202434202434202).

The spelling of 100222002212201 in words is "one hundred trillion, two hundred twenty-two billion, two million, two hundred twelve thousand, two hundred one".