2002122122177 has 2 divisors, whose sum is σ = 2002122122178. Its totient is φ = 2002122122176.

The previous prime is 2002122122173. The next prime is 2002122122267. The reversal of 2002122122177 is 7712212212002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1113776286736 + 888345835441 = 1055356^2 + 942521^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002122122177 - 2² = 2002122122173 is a prime.

It is a super-2 number, since 2×2002122122177² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002122122171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001061061088 + 1001061061089.

It is an arithmetic number, because the mean of its divisors is an integer number (1001061061089).

Almost surely, 2^{2002122122177} is an apocalyptic number.

It is an amenable number.

2002122122177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002122122177 is an equidigital number, since it uses as much as digits as its factorization.

2002122122177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3136, while the sum is 29.

Adding to 2002122122177 its reverse (7712212212002), we get a palindrome (9714334334179).

The spelling of 2002122122177 in words is "two trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred seventy-seven".