2102200010993 has 2 divisors, whose sum is σ = 2102200010994. Its totient is φ = 2102200010992.

The previous prime is 2102200010969. The next prime is 2102200011019. The reversal of 2102200010993 is 3990100022012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1543515518689 + 558684492304 = 1242383^2 + 747452^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102200010993 - 2³⁰ = 2101126269169 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102200010693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051100005496 + 1051100005497.

It is an arithmetic number, because the mean of its divisors is an integer number (1051100005497).

Almost surely, 2^{2102200010993} is an apocalyptic number.

It is an amenable number.

2102200010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102200010993 is an equidigital number, since it uses as much as digits as its factorization.

2102200010993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 2102200010993 in words is "two trillion, one hundred two billion, two hundred million, ten thousand, nine hundred ninety-three".