222121111100257 has 2 divisors, whose sum is σ = 222121111100258. Its totient is φ = 222121111100256.

The previous prime is 222121111100201. The next prime is 222121111100321. The reversal of 222121111100257 is 752001111121222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222099140746081 + 21970354176 = 14902991^2 + 148224^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121111100257 - 2¹¹ = 222121111098209 is a prime.

It is a super-2 number, since 2×222121111100257² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222121111100557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060555550128 + 111060555550129.

It is an arithmetic number, because the mean of its divisors is an integer number (111060555550129).

Almost surely, 2^{222121111100257} is an apocalyptic number.

It is an amenable number.

222121111100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121111100257 is an equidigital number, since it uses as much as digits as its factorization.

222121111100257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 28.

Adding to 222121111100257 its reverse (752001111121222), we get a palindrome (974122222221479).

The spelling of 222121111100257 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thousand, two hundred fifty-seven".