2001121122197 has 2 divisors, whose sum is σ = 2001121122198. Its totient is φ = 2001121122196.

The previous prime is 2001121122157. The next prime is 2001121122211. The reversal of 2001121122197 is 7912211211002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1324177231441 + 676943890756 = 1150729^2 + 822766^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001121122197 - 2³⁸ = 1726243215253 is a prime.

It is a super-2 number, since 2×2001121122197² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001121122107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000560561098 + 1000560561099.

It is an arithmetic number, because the mean of its divisors is an integer number (1000560561099).

Almost surely, 2^{2001121122197} is an apocalyptic number.

It is an amenable number.

2001121122197 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001121122197 is an equidigital number, since it uses as much as digits as its factorization.

2001121122197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 29.

Adding to 2001121122197 its reverse (7912211211002), we get a palindrome (9913332333199).

The spelling of 2001121122197 in words is "two trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred ninety-seven".