Search a number
-
+
100200221221 is a prime number
BaseRepresentation
bin101110101010001100…
…1100000101000100101
3100120122010101122010111
41131110121200220211
53120202224034341
6114010434253021
710145024553562
oct1352431405045
9316563348114
10100200221221
113954945a291
1217504a27171
1395ab143639
144bc789d869
152916ad9681
hex1754660a25

100200221221 has 2 divisors, whose sum is σ = 100200221222. Its totient is φ = 100200221220.

The previous prime is 100200221171. The next prime is 100200221227. The reversal of 100200221221 is 122122002001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69814850625 + 30385370596 = 264225^2 + 174314^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200221221 - 223 = 100191832613 is a prime.

It is a super-3 number, since 3×1002002212213 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100200221227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100110610 + 50100110611.

It is an arithmetic number, because the mean of its divisors is an integer number (50100110611).

Almost surely, 2100200221221 is an apocalyptic number.

It is an amenable number.

100200221221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200221221 is an equidigital number, since it uses as much as digits as its factorization.

100200221221 is an evil number, because the sum of its binary digits is even.

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

Adding to 100200221221 its reverse (122122002001), we get a palindrome (222322223222).

The spelling of 100200221221 in words is "one hundred billion, two hundred million, two hundred twenty-one thousand, two hundred twenty-one".