10211200211137 has 2 divisors, whose sum is σ = 10211200211138. Its totient is φ = 10211200211136.

The previous prime is 10211200211129. The next prime is 10211200211141. The reversal of 10211200211137 is 73111200211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5893610760976 + 4317589450161 = 2427676^2 + 2077881^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211200211137 - 2³ = 10211200211129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211200211117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105600105568 + 5105600105569.

It is an arithmetic number, because the mean of its divisors is an integer number (5105600105569).

Almost surely, 2^{10211200211137} is an apocalyptic number.

It is an amenable number.

10211200211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211200211137 is an equidigital number, since it uses as much as digits as its factorization.

10211200211137 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 22.

Adding to 10211200211137 its reverse (73111200211201), we get a palindrome (83322400422338).

The spelling of 10211200211137 in words is "ten trillion, two hundred eleven billion, two hundred million, two hundred eleven thousand, one hundred thirty-seven".