10031122027 has 2 divisors, whose sum is σ = 10031122028. Its totient is φ = 10031122026.

The previous prime is 10031122007. The next prime is 10031122037. The reversal of 10031122027 is 72022113001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10031122027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031121995 and 10031122013.

It is not a weakly prime, because it can be changed into another prime (10031122007) 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, 5015561013 + 5015561014.

It is an arithmetic number, because the mean of its divisors is an integer number (5015561014).

Almost surely, 2^10031122027 is an apocalyptic number.

10031122027 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031122027 is an equidigital number, since it uses as much as digits as its factorization.

10031122027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 10031122027 its reverse (72022113001), we get a palindrome (82053235028).

The spelling of 10031122027 in words is "ten billion, thirty-one million, one hundred twenty-two thousand, twenty-seven".