2021121122021 has 2 divisors, whose sum is σ = 2021121122022. Its totient is φ = 2021121122020.

The previous prime is 2021121121973. The next prime is 2021121122057. The reversal of 2021121122021 is 1202211211202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1313648361025 + 707472760996 = 1146145^2 + 841114^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021121122021 - 2¹⁴ = 2021121105637 is a prime.

It is a super-2 number, since 2×2021121122021² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2021121122071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010560561010 + 1010560561011.

It is an arithmetic number, because the mean of its divisors is an integer number (1010560561011).

Almost surely, 2^{2021121122021} is an apocalyptic number.

It is an amenable number.

2021121122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021121122021 is an equidigital number, since it uses as much as digits as its factorization.

2021121122021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2021121122021 its reverse (1202211211202), we get a palindrome (3223332333223).

The spelling of 2021121122021 in words is "two trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty-one".