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101211221081 is a prime number
BaseRepresentation
bin101111001000010101…
…0001010110001011001
3100200020120202202012202
41132100222022301121
53124240033033311
6114255031415545
710212052120205
oct1362052126131
9320216682182
10101211221081
1139a18106463
12177475245b5
13970c7324c9
144c81c71b05
15297573ee3b
hex1790a8ac59

101211221081 has 2 divisors, whose sum is σ = 101211221082. Its totient is φ = 101211221080.

The previous prime is 101211221057. The next prime is 101211221119. The reversal of 101211221081 is 180122112101.

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., 94000494025 + 7210727056 = 306595^2 + 84916^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211221081 - 210 = 101211220057 is a prime.

It is a super-2 number, since 2×1012112210812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101211221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605610540 + 50605610541.

It is an arithmetic number, because the mean of its divisors is an integer number (50605610541).

Almost surely, 2101211221081 is an apocalyptic number.

It is an amenable number.

101211221081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211221081 is an equidigital number, since it uses as much as digits as its factorization.

101211221081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 101211221081 its reverse (180122112101), we get a palindrome (281333333182).

The spelling of 101211221081 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, eighty-one".