10101112121 has 2 divisors, whose sum is σ = 10101112122. Its totient is φ = 10101112120.

The previous prime is 10101112103. The next prime is 10101112129. The reversal of 10101112121 is 12121110101.

10101112121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7091492521 + 3009619600 = 84211^2 + 54860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101112121 - 2¹⁴ = 10101095737 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101112129) 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, 5050556060 + 5050556061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050556061).

Almost surely, 2^10101112121 is an apocalyptic number.

It is an amenable number.

10101112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101112121 is an equidigital number, since it uses as much as digits as its factorization.

10101112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101112121 its reverse (12121110101), we get a palindrome (22222222222).

The spelling of 10101112121 in words is "ten billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".