10121222100109 has 2 divisors, whose sum is σ = 10121222100110. Its totient is φ = 10121222100108.

The previous prime is 10121222100083. The next prime is 10121222100131. The reversal of 10121222100109 is 90100122212101.

It is an a-pointer prime, because the next prime (10121222100131) can be obtained adding 10121222100109 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5759064038025 + 4362158062084 = 2399805^2 + 2088578^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121222100109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10121222100109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121222100809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060611050054 + 5060611050055.

It is an arithmetic number, because the mean of its divisors is an integer number (5060611050055).

Almost surely, 2^{10121222100109} is an apocalyptic number.

It is an amenable number.

10121222100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121222100109 is an equidigital number, since it uses as much as digits as its factorization.

10121222100109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10121222100109 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, one hundred nine".