10002111101329 has 2 divisors, whose sum is σ = 10002111101330. Its totient is φ = 10002111101328.

The previous prime is 10002111101327. The next prime is 10002111101347. The reversal of 10002111101329 is 92310111120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6277770780304 + 3724340321025 = 2505548^2 + 1929855^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002111101329 - 2¹ = 10002111101327 is a prime.

Together with 10002111101327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10002111101321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055550664 + 5001055550665.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055550665).

Almost surely, 2^{10002111101329} is an apocalyptic number.

It is an amenable number.

10002111101329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002111101329 is an equidigital number, since it uses as much as digits as its factorization.

10002111101329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 10002111101329 in words is "ten trillion, two billion, one hundred eleven million, one hundred one thousand, three hundred twenty-nine".