200121021121993 has 2 divisors, whose sum is σ = 200121021121994. Its totient is φ = 200121021121992.

The previous prime is 200121021121991. The next prime is 200121021122101. The reversal of 200121021121993 is 399121120121002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165381348964624 + 34739672157369 = 12860068^2 + 5894037^2 .

It is a cyclic number.

It is not a de Polignac number, because 200121021121993 - 2¹ = 200121021121991 is a prime.

Together with 200121021121991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (200121021121991) 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, 100060510560996 + 100060510560997.

It is an arithmetic number, because the mean of its divisors is an integer number (100060510560997).

Almost surely, 2^{200121021121993} is an apocalyptic number.

It is an amenable number.

200121021121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

200121021121993 is an equidigital number, since it uses as much as digits as its factorization.

200121021121993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 34.

Adding to 200121021121993 its reverse (399121120121002), we get a palindrome (599242141242995).

The spelling of 200121021121993 in words is "two hundred trillion, one hundred twenty-one billion, twenty-one million, one hundred twenty-one thousand, nine hundred ninety-three".