211101120002137 has 2 divisors, whose sum is σ = 211101120002138. Its totient is φ = 211101120002136.

The previous prime is 211101120002053. The next prime is 211101120002161. The reversal of 211101120002137 is 731200021101112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209547946044441 + 1553173957696 = 14475771^2 + 1246264^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101120002137 - 2⁴⁷ = 70363631646809 is a prime.

It is not a weakly prime, because it can be changed into another prime (211101120002177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550560001068 + 105550560001069.

It is an arithmetic number, because the mean of its divisors is an integer number (105550560001069).

Almost surely, 2^{211101120002137} is an apocalyptic number.

It is an amenable number.

211101120002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101120002137 is an equidigital number, since it uses as much as digits as its factorization.

211101120002137 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 211101120002137 its reverse (731200021101112), we get a palindrome (942301141103249).

The spelling of 211101120002137 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty million, two thousand, one hundred thirty-seven".