100222201210121 has 2 divisors, whose sum is σ = 100222201210122. Its totient is φ = 100222201210120.

The previous prime is 100222201210099. The next prime is 100222201210133. The reversal of 100222201210121 is 121012102222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82396376790025 + 17825824420096 = 9077245^2 + 4222064^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222201210121 - 2⁶ = 100222201210057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100222201210121.

It is not a weakly prime, because it can be changed into another prime (100222201210141) 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, 50111100605060 + 50111100605061.

It is an arithmetic number, because the mean of its divisors is an integer number (50111100605061).

Almost surely, 2^{100222201210121} is an apocalyptic number.

It is an amenable number.

100222201210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222201210121 is an equidigital number, since it uses as much as digits as its factorization.

100222201210121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100222201210121 its reverse (121012102222001), we get a palindrome (221234303432122).

The spelling of 100222201210121 in words is "one hundred trillion, two hundred twenty-two billion, two hundred one million, two hundred ten thousand, one hundred twenty-one".