10221200210993 has 2 divisors, whose sum is σ = 10221200210994. Its totient is φ = 10221200210992.

The previous prime is 10221200210869. The next prime is 10221200211007. The reversal of 10221200210993 is 39901200212201.

It is a happy number.

10221200210993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8477606726689 + 1743593484304 = 2911633^2 + 1320452^2 .

It is an emirp because it is prime and its reverse (39901200212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221200210993 - 2⁸ = 10221200210737 is a prime.

It is a super-3 number, since 3×10221200210993³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10221200210293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110600105496 + 5110600105497.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600105497).

Almost surely, 2^{10221200210993} is an apocalyptic number.

It is an amenable number.

10221200210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221200210993 is an equidigital number, since it uses as much as digits as its factorization.

10221200210993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 10221200210993 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred ten thousand, nine hundred ninety-three".