10121102110109 has 2 divisors, whose sum is σ = 10121102110110. Its totient is φ = 10121102110108.

The previous prime is 10121102110087. The next prime is 10121102110177. The reversal of 10121102110109 is 90101120112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8043338422084 + 2077763688025 = 2836078^2 + 1441445^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121102110109 - 2²⁴ = 10121085332893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121102110199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060551055054 + 5060551055055.

It is an arithmetic number, because the mean of its divisors is an integer number (5060551055055).

Almost surely, 2^{10121102110109} is an apocalyptic number.

It is an amenable number.

10121102110109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121102110109 is an equidigital number, since it uses as much as digits as its factorization.

10121102110109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 10121102110109 in words is "ten trillion, one hundred twenty-one billion, one hundred two million, one hundred ten thousand, one hundred nine".