10002122121109 has 2 divisors, whose sum is σ = 10002122121110. Its totient is φ = 10002122121108.

The previous prime is 10002122121023. The next prime is 10002122121149. The reversal of 10002122121109 is 90112122120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9644813472100 + 357308649009 = 3105610^2 + 597753^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002122121109 - 2¹⁵ = 10002122088341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002122121109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002122121149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001061060554 + 5001061060555.

It is an arithmetic number, because the mean of its divisors is an integer number (5001061060555).

Almost surely, 2^{10002122121109} is an apocalyptic number.

It is an amenable number.

10002122121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002122121109 is an equidigital number, since it uses as much as digits as its factorization.

10002122121109 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10002122121109 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred nine".