10002100210199 has 2 divisors, whose sum is σ = 10002100210200. Its totient is φ = 10002100210198.

The previous prime is 10002100210177. The next prime is 10002100210217. The reversal of 10002100210199 is 99101200120001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10002100210199 - 2²⁰ = 10002099161623 is a prime.

It is a super-2 number, since 2×10002100210199² (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 (10002100210139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050105099 + 5001050105100.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050105100).

Almost surely, 2^{10002100210199} is an apocalyptic number.

10002100210199 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100210199 is an equidigital number, since it uses as much as digits as its factorization.

10002100210199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 10002100210199 in words is "ten trillion, two billion, one hundred million, two hundred ten thousand, one hundred ninety-nine".