10211022101257 has 2 divisors, whose sum is σ = 10211022101258. Its totient is φ = 10211022101256.

The previous prime is 10211022101221. The next prime is 10211022101261. The reversal of 10211022101257 is 75210122011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6325909098496 + 3885113002761 = 2515136^2 + 1971069^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211022101257 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211022101857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105511050628 + 5105511050629.

It is an arithmetic number, because the mean of its divisors is an integer number (5105511050629).

Almost surely, 2^{10211022101257} is an apocalyptic number.

It is an amenable number.

10211022101257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211022101257 is an equidigital number, since it uses as much as digits as its factorization.

10211022101257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 10211022101257 its reverse (75210122011201), we get a palindrome (85421144112458).

The spelling of 10211022101257 in words is "ten trillion, two hundred eleven billion, twenty-two million, one hundred one thousand, two hundred fifty-seven".