212011111200137 has 2 divisors, whose sum is σ = 212011111200138. Its totient is φ = 212011111200136.

The previous prime is 212011111200101. The next prime is 212011111200143. The reversal of 212011111200137 is 731002111110212.

212011111200137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193268134172281 + 18742977027856 = 13902091^2 + 4329316^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011111200137 - 2¹⁰ = 212011111199113 is a prime.

It is a super-2 number, since 2×212011111200137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212011111200937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005555600068 + 106005555600069.

It is an arithmetic number, because the mean of its divisors is an integer number (106005555600069).

Almost surely, 2^{212011111200137} is an apocalyptic number.

It is an amenable number.

212011111200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011111200137 is an equidigital number, since it uses as much as digits as its factorization.

212011111200137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 212011111200137 its reverse (731002111110212), we get a palindrome (943013222310349).

The spelling of 212011111200137 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, two hundred thousand, one hundred thirty-seven".