10122333021137 has 2 divisors, whose sum is σ = 10122333021138. Its totient is φ = 10122333021136.

The previous prime is 10122333021083. The next prime is 10122333021161. The reversal of 10122333021137 is 73112033322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9718238873281 + 404094147856 = 3117409^2 + 635684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122333021137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122333021167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061166510568 + 5061166510569.

It is an arithmetic number, because the mean of its divisors is an integer number (5061166510569).

Almost surely, 2^{10122333021137} is an apocalyptic number.

It is an amenable number.

10122333021137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122333021137 is an equidigital number, since it uses as much as digits as its factorization.

10122333021137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 10122333021137 its reverse (73112033322101), we get a palindrome (83234366343238).

The spelling of 10122333021137 in words is "ten trillion, one hundred twenty-two billion, three hundred thirty-three million, twenty-one thousand, one hundred thirty-seven".