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101211221057 is a prime number
BaseRepresentation
bin101111001000010101…
…0001010110001000001
3100200020120202202011212
41132100222022301001
53124240033033212
6114255031415505
710212052120142
oct1362052126101
9320216682155
10101211221057
1139a18106441
1217747524595
13970c7324ab
144c81c71ac9
15297573ee22
hex1790a8ac41

101211221057 has 2 divisors, whose sum is σ = 101211221058. Its totient is φ = 101211221056.

The previous prime is 101211221021. The next prime is 101211221081. The reversal of 101211221057 is 750122112101.

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., 95313595441 + 5897625616 = 308729^2 + 76796^2 .

It is an emirp because it is prime and its reverse (750122112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101211221057 - 212 = 101211216961 is a prime.

It is a super-2 number, since 2×1012112210572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101211221257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605610528 + 50605610529.

It is an arithmetic number, because the mean of its divisors is an integer number (50605610529).

Almost surely, 2101211221057 is an apocalyptic number.

It is an amenable number.

101211221057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211221057 is an equidigital number, since it uses as much as digits as its factorization.

101211221057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 101211221057 its reverse (750122112101), we get a palindrome (851333333158).

The spelling of 101211221057 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, fifty-seven".