211121200121137 has 2 divisors, whose sum is σ = 211121200121138. Its totient is φ = 211121200121136.

The previous prime is 211121200121131. The next prime is 211121200121159. The reversal of 211121200121137 is 731121002121112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129713329958976 + 81407870162161 = 11389176^2 + 9022631^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121200121137 - 2⁴³ = 202325107098929 is a prime.

It is a super-2 number, since 2×211121200121137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211121200121131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560600060568 + 105560600060569.

It is an arithmetic number, because the mean of its divisors is an integer number (105560600060569).

Almost surely, 2^{211121200121137} is an apocalyptic number.

It is an amenable number.

211121200121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121200121137 is an equidigital number, since it uses as much as digits as its factorization.

211121200121137 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 211121200121137 its reverse (731121002121112), we get a palindrome (942242202242249).

The spelling of 211121200121137 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred million, one hundred twenty-one thousand, one hundred thirty-seven".