10221211112137 has 2 divisors, whose sum is σ = 10221211112138. Its totient is φ = 10221211112136.

The previous prime is 10221211112117. The next prime is 10221211112173. The reversal of 10221211112137 is 73121111212201.

10221211112137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10221211112173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10172712501961 + 48498610176 = 3189469^2 + 220224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221211112137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221211112117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110605556068 + 5110605556069.

It is an arithmetic number, because the mean of its divisors is an integer number (5110605556069).

Almost surely, 2^{10221211112137} is an apocalyptic number.

It is an amenable number.

10221211112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221211112137 is an equidigital number, since it uses as much as digits as its factorization.

10221211112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 10221211112137 its reverse (73121111212201), we get a palindrome (83342322324338).

The spelling of 10221211112137 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred thirty-seven".