1010122121 has 2 divisors, whose sum is σ = 1010122122. Its totient is φ = 1010122120.

The previous prime is 1010122117. The next prime is 1010122123. The reversal of 1010122121 is 1212210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 794619721 + 215502400 = 28189^2 + 14680^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010122121 - 2² = 1010122117 is a prime.

It is a Sophie Germain prime.

Together with 1010122123, 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 (1010122123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505061060 + 505061061.

It is an arithmetic number, because the mean of its divisors is an integer number (505061061).

Almost surely, 2^1010122121 is an apocalyptic number.

It is an amenable number.

1010122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010122121 is an equidigital number, since it uses as much as digits as its factorization.

1010122121 is an evil number, because the sum of its binary digits is even.

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

The square root of 1010122121 is about 31782.4184259159. The cubic root of 1010122121 is about 1003.3627197740.

Adding to 1010122121 its reverse (1212210101), we get a palindrome (2222332222).

The spelling of 1010122121 in words is "one billion, ten million, one hundred twenty-two thousand, one hundred twenty-one".