1021021121 has 2 divisors, whose sum is σ = 1021021122. Its totient is φ = 1021021120.

The previous prime is 1021021103. The next prime is 1021021123. The reversal of 1021021121 is 1211201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1019908096 + 1113025 = 31936^2 + 1055^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021021121 - 2¹⁰ = 1021020097 is a prime.

It is a Sophie Germain prime.

Together with 1021021123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1021021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510510560 + 510510561.

It is an arithmetic number, because the mean of its divisors is an integer number (510510561).

Almost surely, 2^1021021121 is an apocalyptic number.

It is an amenable number.

1021021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021021121 is an equidigital number, since it uses as much as digits as its factorization.

1021021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1021021121 is about 31953.4211157428. The cubic root of 1021021121 is about 1006.9585071987.

Adding to 1021021121 its reverse (1211201201), we get a palindrome (2232222322).

The spelling of 1021021121 in words is "one billion, twenty-one million, twenty-one thousand, one hundred twenty-one".