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10000222021001 is a prime number
BaseRepresentation
bin1001000110000101101110…
…1011100110010110001001
31022102000022200000002101102
42101201123223212112021
52302320423314133001
633134012155431145
72051330552445662
oct221413353462611
938360280002342
1010000222021001
113206085697753
12115613a1554b5
1357702b152ab4
14268028804369
151251de69be6b
hex9185bae6589

10000222021001 has 2 divisors, whose sum is σ = 10000222021002. Its totient is φ = 10000222021000.

The previous prime is 10000222020961. The next prime is 10000222021021. The reversal of 10000222021001 is 10012022200001.

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., 9022219697401 + 978002323600 = 3003701^2 + 988940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000222021001 is a prime.

It is a super-3 number, since 3×100002220210013 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10000222021021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000111010500 + 5000111010501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000111010501).

Almost surely, 210000222021001 is an apocalyptic number.

It is an amenable number.

10000222021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000222021001 is an equidigital number, since it uses as much as digits as its factorization.

10000222021001 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 10000222021001 its reverse (10012022200001), we get a palindrome (20012244221002).

The spelling of 10000222021001 in words is "ten trillion, two hundred twenty-two million, twenty-one thousand, one".