1012121113 has 2 divisors, whose sum is σ = 1012121114. Its totient is φ = 1012121112.

The previous prime is 1012121081. The next prime is 1012121137. The reversal of 1012121113 is 3111212101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755865049 + 256256064 = 27493^2 + 16008^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012121113 - 2⁵ = 1012121081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012121093 and 1012121102.

It is not a weakly prime, because it can be changed into another prime (1012125113) 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, 506060556 + 506060557.

It is an arithmetic number, because the mean of its divisors is an integer number (506060557).

Almost surely, 2^1012121113 is an apocalyptic number.

It is an amenable number.

1012121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012121113 is an equidigital number, since it uses as much as digits as its factorization.

1012121113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1012121113 is about 31813.8509614916. The cubic root of 1012121113 is about 1004.0241554507.

Adding to 1012121113 its reverse (3111212101), we get a palindrome (4123333214).

The spelling of 1012121113 in words is "one billion, twelve million, one hundred twenty-one thousand, one hundred thirteen".