200002120021001 has 2 divisors, whose sum is σ = 200002120021002. Its totient is φ = 200002120021000.

The previous prime is 200002120020979. The next prime is 200002120021129. The reversal of 200002120021001 is 100120021200002.

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., 199773348174400 + 228771846601 = 14134120^2 + 478301^2 .

It is a cyclic number.

It is not a de Polignac number, because 200002120021001 - 2³⁴ = 199984940151817 is a prime.

It is not a weakly prime, because it can be changed into another prime (200002120021601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100001060010500 + 100001060010501.

It is an arithmetic number, because the mean of its divisors is an integer number (100001060010501).

Almost surely, 2^{200002120021001} is an apocalyptic number.

It is an amenable number.

200002120021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200002120021001 is an equidigital number, since it uses as much as digits as its factorization.

200002120021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200002120021001 its reverse (100120021200002), we get a palindrome (300122141221003).

The spelling of 200002120021001 in words is "two hundred trillion, two billion, one hundred twenty million, twenty-one thousand, one".