10002120102269 has 2 divisors, whose sum is σ = 10002120102270. Its totient is φ = 10002120102268.

The previous prime is 10002120102253. The next prime is 10002120102319. The reversal of 10002120102269 is 96220102120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9972092411044 + 30027691225 = 3157862^2 + 173285^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002120102269 - 2⁴ = 10002120102253 is a prime.

It is a super-2 number, since 2×10002120102269² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002120102229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060051134 + 5001060051135.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060051135).

Almost surely, 2^{10002120102269} is an apocalyptic number.

It is an amenable number.

10002120102269 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120102269 is an equidigital number, since it uses as much as digits as its factorization.

10002120102269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 10002120102269 in words is "ten trillion, two billion, one hundred twenty million, one hundred two thousand, two hundred sixty-nine".