10221011121109 has 2 divisors, whose sum is σ = 10221011121110. Its totient is φ = 10221011121108.

The previous prime is 10221011121103. The next prime is 10221011121127. The reversal of 10221011121109 is 90112111012201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9844671814884 + 376339306225 = 3137622^2 + 613465^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221011121109 - 2²⁵ = 10220977566677 is a prime.

It is a super-3 number, since 3×10221011121109³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221011121109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221011121103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505560554 + 5110505560555.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505560555).

Almost surely, 2^{10221011121109} is an apocalyptic number.

It is an amenable number.

10221011121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221011121109 is an equidigital number, since it uses as much as digits as its factorization.

10221011121109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 10221011121109 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred nine".