100202222103121 has 2 divisors, whose sum is σ = 100202222103122. Its totient is φ = 100202222103120.

The previous prime is 100202222103103. The next prime is 100202222103143. The reversal of 100202222103121 is 121301222202001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71140031147025 + 29062190956096 = 8434455^2 + 5390936^2 .

It is an emirp because it is prime and its reverse (121301222202001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100202222103121 - 2⁵ = 100202222103089 is a prime.

It is not a weakly prime, because it can be changed into another prime (100202222103161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101111051560 + 50101111051561.

It is an arithmetic number, because the mean of its divisors is an integer number (50101111051561).

Almost surely, 2^{100202222103121} is an apocalyptic number.

It is an amenable number.

100202222103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202222103121 is an equidigital number, since it uses as much as digits as its factorization.

100202222103121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100202222103121 its reverse (121301222202001), we get a palindrome (221503444305122).

The spelling of 100202222103121 in words is "one hundred trillion, two hundred two billion, two hundred twenty-two million, one hundred three thousand, one hundred twenty-one".