10112121109 has 2 divisors, whose sum is σ = 10112121110. Its totient is φ = 10112121108.

The previous prime is 10112121037. The next prime is 10112121133. The reversal of 10112121109 is 90112121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9941087025 + 171034084 = 99705^2 + 13078^2 .

It is an emirp because it is prime and its reverse (90112121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112121109 - 2⁹ = 10112120597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112121209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056060554 + 5056060555.

It is an arithmetic number, because the mean of its divisors is an integer number (5056060555).

Almost surely, 2^10112121109 is an apocalyptic number.

It is an amenable number.

10112121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112121109 is an equidigital number, since it uses as much as digits as its factorization.

10112121109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10112121109 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, one hundred nine".