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101000201221 is a prime number
BaseRepresentation
bin101111000010000010…
…1001100010000000101
3100122200212200211101101
41132010011030100011
53123322022414341
6114222052500101
710203610355023
oct1360405142005
9318625624341
10101000201221
1139919a87087
12176a891a631
1396a7aba39a
144c61c21713
152961e5a831
hex178414c405

101000201221 has 2 divisors, whose sum is σ = 101000201222. Its totient is φ = 101000201220.

The previous prime is 101000201209. The next prime is 101000201257. The reversal of 101000201221 is 122102000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99864848196 + 1135353025 = 316014^2 + 33695^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000201221 - 215 = 101000168453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000201198 and 101000201207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500100610 + 50500100611.

It is an arithmetic number, because the mean of its divisors is an integer number (50500100611).

Almost surely, 2101000201221 is an apocalyptic number.

It is an amenable number.

101000201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000201221 is an equidigital number, since it uses as much as digits as its factorization.

101000201221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101000201221 its reverse (122102000101), we get a palindrome (223102201322).

The spelling of 101000201221 in words is "one hundred one billion, two hundred one thousand, two hundred twenty-one".