10121121001109 has 2 divisors, whose sum is σ = 10121121001110. Its totient is φ = 10121121001108.

The previous prime is 10121121001063. The next prime is 10121121001127. The reversal of 10121121001109 is 90110012112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9907448712100 + 213672289009 = 3147610^2 + 462247^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121121001109 - 2¹⁶ = 10121120935573 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121121001139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060560500554 + 5060560500555.

It is an arithmetic number, because the mean of its divisors is an integer number (5060560500555).

Almost surely, 2^{10121121001109} is an apocalyptic number.

It is an amenable number.

10121121001109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121121001109 is an equidigital number, since it uses as much as digits as its factorization.

10121121001109 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 20.

The spelling of 10121121001109 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one thousand, one hundred nine".