10101312251 has 2 divisors, whose sum is σ = 10101312252. Its totient is φ = 10101312250.

The previous prime is 10101312233. The next prime is 10101312253. The reversal of 10101312251 is 15221310101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101312251 - 2¹⁸ = 10101050107 is a prime.

Together with 10101312253, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10101312253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050656125 + 5050656126.

It is an arithmetic number, because the mean of its divisors is an integer number (5050656126).

Almost surely, 2^10101312251 is an apocalyptic number.

10101312251 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101312251 is an equidigital number, since it uses as much as digits as its factorization.

10101312251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 10101312251 its reverse (15221310101), we get a palindrome (25322622352).

The spelling of 10101312251 in words is "ten billion, one hundred one million, three hundred twelve thousand, two hundred fifty-one".