1011114121 has 2 divisors, whose sum is σ = 1011114122. Its totient is φ = 1011114120.

The previous prime is 1011114119. The next prime is 1011114157. The reversal of 1011114121 is 1214111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 534303225 + 476810896 = 23115^2 + 21836^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011114121 - 2¹ = 1011114119 is a prime.

Together with 1011114119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1011114421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505557060 + 505557061.

It is an arithmetic number, because the mean of its divisors is an integer number (505557061).

Almost surely, 2^1011114121 is an apocalyptic number.

It is an amenable number.

1011114121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011114121 is an equidigital number, since it uses as much as digits as its factorization.

1011114121 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 13.

The square root of 1011114121 is about 31798.0207088429. The cubic root of 1011114121 is about 1003.6910662675.

Adding to 1011114121 its reverse (1214111101), we get a palindrome (2225225222).

The spelling of 1011114121 in words is "one billion, eleven million, one hundred fourteen thousand, one hundred twenty-one".