1020202221257 has 2 divisors, whose sum is σ = 1020202221258. Its totient is φ = 1020202221256.

The previous prime is 1020202221163. The next prime is 1020202221301. The reversal of 1020202221257 is 7521222020201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 850487883961 + 169714337296 = 922219^2 + 411964^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020202221257 - 2¹⁴ = 1020202204873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020202226257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510101110628 + 510101110629.

It is an arithmetic number, because the mean of its divisors is an integer number (510101110629).

Almost surely, 2^{1020202221257} is an apocalyptic number.

It is an amenable number.

1020202221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020202221257 is an equidigital number, since it uses as much as digits as its factorization.

1020202221257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

Adding to 1020202221257 its reverse (7521222020201), we get a palindrome (8541424241458).

The spelling of 1020202221257 in words is "one trillion, twenty billion, two hundred two million, two hundred twenty-one thousand, two hundred fifty-seven".