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101211221009 is a prime number
BaseRepresentation
bin101111001000010101…
…0001010110000010001
3100200020120202202010002
41132100222022300101
53124240033033014
6114255031415345
710212052120043
oct1362052126021
9320216682102
10101211221009
1139a181063a8
1217747524555
13970c732472
144c81c71a93
15297573edde
hex1790a8ac11

101211221009 has 2 divisors, whose sum is σ = 101211221010. Its totient is φ = 101211221008.

The previous prime is 101211220991. The next prime is 101211221021. The reversal of 101211221009 is 900122112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50798398225 + 50412822784 = 225385^2 + 224528^2 .

It is an emirp because it is prime and its reverse (900122112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101211221009 - 220 = 101210172433 is a prime.

It is a super-2 number, since 2×1012112210092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101211227009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605610504 + 50605610505.

It is an arithmetic number, because the mean of its divisors is an integer number (50605610505).

Almost surely, 2101211221009 is an apocalyptic number.

It is an amenable number.

101211221009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211221009 is an equidigital number, since it uses as much as digits as its factorization.

101211221009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 101211221009 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, nine".