100222221002201 has 2 divisors, whose sum is σ = 100222221002202. Its totient is φ = 100222221002200.

The previous prime is 100222221002191. The next prime is 100222221002207. The reversal of 100222221002201 is 102200122222001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54179536455625 + 46042684546576 = 7360675^2 + 6785476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100222221002201 is a prime.

It is a super-2 number, since 2×100222221002201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100222221002201.

It is not a weakly prime, because it can be changed into another prime (100222221002207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111110501100 + 50111110501101.

It is an arithmetic number, because the mean of its divisors is an integer number (50111110501101).

Almost surely, 2^{100222221002201} is an apocalyptic number.

It is an amenable number.

100222221002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222221002201 is an equidigital number, since it uses as much as digits as its factorization.

100222221002201 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 100222221002201 its reverse (102200122222001), we get a palindrome (202422343224202).

The spelling of 100222221002201 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty-one million, two thousand, two hundred one".