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22100020022081 is a prime number
BaseRepresentation
bin1010000011001100011111…
…10101111100101101000001
32220020202000101121221000002
411001212033311330231001
510344041320111201311
6115000335315205345
74440450045465611
oct501461765745501
986222011557002
1022100020022081
1170506251798a1
12258b16bba6855
13c4403b548011
1456590a6a0a41
15284d13c0593b
hex14198fd7cb41

22100020022081 has 2 divisors, whose sum is σ = 22100020022082. Its totient is φ = 22100020022080.

The previous prime is 22100020022053. The next prime is 22100020022161. The reversal of 22100020022081 is 18022002000122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20032866204481 + 2067153817600 = 4475809^2 + 1437760^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100020022081 - 238 = 21825142115137 is a prime.

It is a super-2 number, since 2×221000200220812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22100020022281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050010011040 + 11050010011041.

It is an arithmetic number, because the mean of its divisors is an integer number (11050010011041).

Almost surely, 222100020022081 is an apocalyptic number.

It is an amenable number.

22100020022081 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100020022081 is an equidigital number, since it uses as much as digits as its factorization.

22100020022081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 22100020022081 in words is "twenty-two trillion, one hundred billion, twenty million, twenty-two thousand, eighty-one".