10122011221237 has 2 divisors, whose sum is σ = 10122011221238. Its totient is φ = 10122011221236.

The previous prime is 10122011221199. The next prime is 10122011221253. The reversal of 10122011221237 is 73212211022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6184005138756 + 3938006082481 = 2486766^2 + 1984441^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122011221237 - 2³¹ = 10119863737589 is a prime.

It is a super-2 number, since 2×10122011221237² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122011221037) 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, 5061005610618 + 5061005610619.

It is an arithmetic number, because the mean of its divisors is an integer number (5061005610619).

Almost surely, 2^{10122011221237} is an apocalyptic number.

It is an amenable number.

10122011221237 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122011221237 is an equidigital number, since it uses as much as digits as its factorization.

10122011221237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 10122011221237 its reverse (73212211022101), we get a palindrome (83334222243338).

The spelling of 10122011221237 in words is "ten trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand, two hundred thirty-seven".