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101212222081 is a prime number
BaseRepresentation
bin101111001000010110…
…1111111001010000001
3100200020122122121022211
41132100231333022001
53124240312101311
6114255105102121
710212063456445
oct1362055771201
9320218577284
10101212222081
1139a1872a533
1217747927941
13970c9c3009
144c82052825
15297588b821
hex1790b7f281

101212222081 has 2 divisors, whose sum is σ = 101212222082. Its totient is φ = 101212222080.

The previous prime is 101212222073. The next prime is 101212222123. The reversal of 101212222081 is 180222212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71310895681 + 29901326400 = 267041^2 + 172920^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212222081 - 23 = 101212222073 is a prime.

It is a super-2 number, since 2×1012122220812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101212222031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606111040 + 50606111041.

It is an arithmetic number, because the mean of its divisors is an integer number (50606111041).

Almost surely, 2101212222081 is an apocalyptic number.

It is an amenable number.

101212222081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212222081 is an equidigital number, since it uses as much as digits as its factorization.

101212222081 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 22.

Adding to 101212222081 its reverse (180222212101), we get a palindrome (281434434182).

The spelling of 101212222081 in words is "one hundred one billion, two hundred twelve million, two hundred twenty-two thousand, eighty-one".