10002111102229 has 2 divisors, whose sum is σ = 10002111102230. Its totient is φ = 10002111102228.

The previous prime is 10002111102211. The next prime is 10002111102233. The reversal of 10002111102229 is 92220111120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9963321799729 + 38789302500 = 3156473^2 + 196950^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002111102229 - 2¹¹ = 10002111100181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002111102629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055551114 + 5001055551115.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055551115).

Almost surely, 2^{10002111102229} is an apocalyptic number.

It is an amenable number.

10002111102229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002111102229 is an equidigital number, since it uses as much as digits as its factorization.

10002111102229 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 10002111102229 in words is "ten trillion, two billion, one hundred eleven million, one hundred two thousand, two hundred twenty-nine".