10211120137 has 2 divisors, whose sum is σ = 10211120138. Its totient is φ = 10211120136.

The previous prime is 10211120077. The next prime is 10211120141. The reversal of 10211120137 is 73102111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10124183161 + 86936976 = 100619^2 + 9324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211120137 - 2⁷ = 10211120009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211120537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105560068 + 5105560069.

It is an arithmetic number, because the mean of its divisors is an integer number (5105560069).

Almost surely, 2^10211120137 is an apocalyptic number.

It is an amenable number.

10211120137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211120137 is an equidigital number, since it uses as much as digits as its factorization.

10211120137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 10211120137 its reverse (73102111201), we get a palindrome (83313231338).

The spelling of 10211120137 in words is "ten billion, two hundred eleven million, one hundred twenty thousand, one hundred thirty-seven".