1002112121 has 2 divisors, whose sum is σ = 1002112122. Its totient is φ = 1002112120.

The previous prime is 1002112103. The next prime is 1002112123. The reversal of 1002112121 is 1212112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 960690025 + 41422096 = 30995^2 + 6436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002112121 - 2²⁶ = 935003257 is a prime.

Together with 1002112123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1002112123) 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, 501056060 + 501056061.

It is an arithmetic number, because the mean of its divisors is an integer number (501056061).

Almost surely, 2^1002112121 is an apocalyptic number.

It is an amenable number.

1002112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002112121 is an equidigital number, since it uses as much as digits as its factorization.

1002112121 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 1002112121 is about 31656.1545516824. The cubic root of 1002112121 is about 1000.7035452413.

Adding to 1002112121 its reverse (1212112001), we get a palindrome (2214224122).

The spelling of 1002112121 in words is "one billion, two million, one hundred twelve thousand, one hundred twenty-one".