10201031220257 has 2 divisors, whose sum is σ = 10201031220258. Its totient is φ = 10201031220256.

The previous prime is 10201031220253. The next prime is 10201031220307. The reversal of 10201031220257 is 75202213010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5147163037696 + 5053868182561 = 2268736^2 + 2248081^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201031220257 - 2² = 10201031220253 is a prime.

It is a super-2 number, since 2×10201031220257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10201031220253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100515610128 + 5100515610129.

It is an arithmetic number, because the mean of its divisors is an integer number (5100515610129).

Almost surely, 2^{10201031220257} is an apocalyptic number.

It is an amenable number.

10201031220257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201031220257 is an equidigital number, since it uses as much as digits as its factorization.

10201031220257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 10201031220257 its reverse (75202213010201), we get a palindrome (85403244230458).

The spelling of 10201031220257 in words is "ten trillion, two hundred one billion, thirty-one million, two hundred twenty thousand, two hundred fifty-seven".