10200211001993 has 2 divisors, whose sum is σ = 10200211001994. Its totient is φ = 10200211001992.

The previous prime is 10200211001963. The next prime is 10200211002029. The reversal of 10200211001993 is 39910011200201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10196960519824 + 3250482169 = 3193268^2 + 57013^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200211001993 - 2³⁴ = 10183031132809 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10200211001963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100105500996 + 5100105500997.

It is an arithmetic number, because the mean of its divisors is an integer number (5100105500997).

Almost surely, 2^{10200211001993} is an apocalyptic number.

It is an amenable number.

10200211001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200211001993 is an equidigital number, since it uses as much as digits as its factorization.

10200211001993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 10200211001993 in words is "ten trillion, two hundred billion, two hundred eleven million, one thousand, nine hundred ninety-three".