10301211321257 has 2 divisors, whose sum is σ = 10301211321258. Its totient is φ = 10301211321256.

The previous prime is 10301211321169. The next prime is 10301211321287. The reversal of 10301211321257 is 75212311210301.

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., 5291085655696 + 5010125665561 = 2300236^2 + 2238331^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301211321257 - 2¹⁰ = 10301211320233 is a prime.

It is a super-2 number, since 2×10301211321257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10301211321287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150605660628 + 5150605660629.

It is an arithmetic number, because the mean of its divisors is an integer number (5150605660629).

Almost surely, 2^{10301211321257} is an apocalyptic number.

It is an amenable number.

10301211321257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301211321257 is an equidigital number, since it uses as much as digits as its factorization.

10301211321257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 10301211321257 its reverse (75212311210301), we get a palindrome (85513522531558).

The spelling of 10301211321257 in words is "ten trillion, three hundred one billion, two hundred eleven million, three hundred twenty-one thousand, two hundred fifty-seven".