1020223300121 has 2 divisors, whose sum is σ = 1020223300122. Its totient is φ = 1020223300120.

The previous prime is 1020223300067. The next prime is 1020223300127. The reversal of 1020223300121 is 1210033220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 515646067225 + 504577232896 = 718085^2 + 710336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020223300121 is a prime.

It is a super-2 number, since 2×1020223300121² (a number of 25 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 1020223300121.

It is not a weakly prime, because it can be changed into another prime (1020223300127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510111650060 + 510111650061.

It is an arithmetic number, because the mean of its divisors is an integer number (510111650061).

Almost surely, 2^{1020223300121} is an apocalyptic number.

It is an amenable number.

1020223300121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020223300121 is an equidigital number, since it uses as much as digits as its factorization.

1020223300121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1020223300121 its reverse (1210033220201), we get a palindrome (2230256520322).

The spelling of 1020223300121 in words is "one trillion, twenty billion, two hundred twenty-three million, three hundred thousand, one hundred twenty-one".