10221302131127 has 2 divisors, whose sum is σ = 10221302131128. Its totient is φ = 10221302131126.

The previous prime is 10221302131097. The next prime is 10221302131147. The reversal of 10221302131127 is 72113120312201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10221302131127 - 2²⁶ = 10221235022263 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221302131096 and 10221302131105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221302131147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110651065563 + 5110651065564.

It is an arithmetic number, because the mean of its divisors is an integer number (5110651065564).

Almost surely, 2^{10221302131127} is an apocalyptic number.

10221302131127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221302131127 is an equidigital number, since it uses as much as digits as its factorization.

10221302131127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 10221302131127 its reverse (72113120312201), we get a palindrome (82334422443328).

The spelling of 10221302131127 in words is "ten trillion, two hundred twenty-one billion, three hundred two million, one hundred thirty-one thousand, one hundred twenty-seven".