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202221201001 is a prime number
BaseRepresentation
bin1011110001010101010…
…0101010011001101001
3201022222010212101110011
42330111110222121221
511303122111413001
6232522114051521
720416141563451
oct2742524523151
9638863771404
10202221201001
1178841661406
1233237579ba1
13160b95647b1
149b050bad61
1553d847cd51
hex2f1552a669

202221201001 has 2 divisors, whose sum is σ = 202221201002. Its totient is φ = 202221201000.

The previous prime is 202221200999. The next prime is 202221201029. The reversal of 202221201001 is 100102122202.

It is a happy number.

202221201001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201220427776 + 1000773225 = 448576^2 + 31635^2 .

It is a cyclic number.

It is not a de Polignac number, because 202221201001 - 21 = 202221200999 is a prime.

Together with 202221200999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (202221201041) 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, 101110600500 + 101110600501.

It is an arithmetic number, because the mean of its divisors is an integer number (101110600501).

Almost surely, 2202221201001 is an apocalyptic number.

It is an amenable number.

202221201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221201001 is an equidigital number, since it uses as much as digits as its factorization.

202221201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202221201001 its reverse (100102122202), we get a palindrome (302323323203).

The spelling of 202221201001 in words is "two hundred two billion, two hundred twenty-one million, two hundred one thousand, one".