211121200121177 has 2 divisors, whose sum is σ = 211121200121178. Its totient is φ = 211121200121176.

The previous prime is 211121200121159. The next prime is 211121200121213. The reversal of 211121200121177 is 771121002121112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210260556132496 + 860643988681 = 14500364^2 + 927709^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121200121177 - 2¹⁸ = 211121199859033 is a prime.

It is a super-2 number, since 2×211121200121177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211121200121137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560600060588 + 105560600060589.

It is an arithmetic number, because the mean of its divisors is an integer number (105560600060589).

Almost surely, 2^{211121200121177} is an apocalyptic number.

It is an amenable number.

211121200121177 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121200121177 is an equidigital number, since it uses as much as digits as its factorization.

211121200121177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 29.

Adding to 211121200121177 its reverse (771121002121112), we get a palindrome (982242202242289).

The spelling of 211121200121177 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred million, one hundred twenty-one thousand, one hundred seventy-seven".