100222121002121 has 2 divisors, whose sum is σ = 100222121002122. Its totient is φ = 100222121002120.

The previous prime is 100222121002079. The next prime is 100222121002153. The reversal of 100222121002121 is 121200121222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75796177210000 + 24425943792121 = 8706100^2 + 4942261^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222121002121 - 2⁴⁶ = 29853376824457 is a prime.

It is a super-3 number, since 3×100222121002121³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100222121002121.

It is not a weakly prime, because it can be changed into another prime (100222121602121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111060501060 + 50111060501061.

It is an arithmetic number, because the mean of its divisors is an integer number (50111060501061).

Almost surely, 2^{100222121002121} is an apocalyptic number.

It is an amenable number.

100222121002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222121002121 is an equidigital number, since it uses as much as digits as its factorization.

100222121002121 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 100222121002121 its reverse (121200121222001), we get a palindrome (221422242224122).

The spelling of 100222121002121 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred twenty-one".