1010222203121 has 2 divisors, whose sum is σ = 1010222203122. Its totient is φ = 1010222203120.

The previous prime is 1010222203079. The next prime is 1010222203127. The reversal of 1010222203121 is 1213022220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763332468721 + 246889734400 = 873689^2 + 496880^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010222203121 - 2¹⁸ = 1010221940977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010222203121.

It is not a weakly prime, because it can be changed into another prime (1010222203127) 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, 505111101560 + 505111101561.

It is an arithmetic number, because the mean of its divisors is an integer number (505111101561).

Almost surely, 2^{1010222203121} is an apocalyptic number.

It is an amenable number.

1010222203121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010222203121 is an equidigital number, since it uses as much as digits as its factorization.

1010222203121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1010222203121 its reverse (1213022220101), we get a palindrome (2223244423222).

The spelling of 1010222203121 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred three thousand, one hundred twenty-one".