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101211410033 is a prime number
BaseRepresentation
bin101111001000010101…
…0111000111001110001
3100200020121010100101222
41132100222320321301
53124240110110113
6114255035434425
710212053535116
oct1362052707161
9320217110358
10101211410033
1139a18225418
12177475b5a15
13970c79a506
144c81cc090d
15297577ae08
hex1790ab8e71

101211410033 has 2 divisors, whose sum is σ = 101211410034. Its totient is φ = 101211410032.

The previous prime is 101211409997. The next prime is 101211410077. The reversal of 101211410033 is 330014112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91295831104 + 9915578929 = 302152^2 + 99577^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211410033 - 26 = 101211409969 is a prime.

It is a super-2 number, since 2×1012114100332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211409993 and 101211410020.

It is not a weakly prime, because it can be changed into another prime (101211410533) 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, 50605705016 + 50605705017.

It is an arithmetic number, because the mean of its divisors is an integer number (50605705017).

Almost surely, 2101211410033 is an apocalyptic number.

It is an amenable number.

101211410033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211410033 is an equidigital number, since it uses as much as digits as its factorization.

101211410033 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 17.

Adding to 101211410033 its reverse (330014112101), we get a palindrome (431225522134).

The spelling of 101211410033 in words is "one hundred one billion, two hundred eleven million, four hundred ten thousand, thirty-three".