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101120200121 is a prime number
BaseRepresentation
bin101111000101100111…
…0111100110110111001
3100200000020111101221002
41132023032330312321
53124043232400441
6114242020454345
710206565343033
oct1361316746671
9320006441832
10101120200121
1139980798026
1217720b4a3b5
1396c6913955
144c73b3ac53
15296c760b9b
hex178b3bcdb9

101120200121 has 2 divisors, whose sum is σ = 101120200122. Its totient is φ = 101120200120.

The previous prime is 101120200099. The next prime is 101120200151. The reversal of 101120200121 is 121002021101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59261086096 + 41859114025 = 243436^2 + 204595^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120200121 - 26 = 101120200057 is a prime.

It is a super-2 number, since 2×1011202001212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101120200151) 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, 50560100060 + 50560100061.

It is an arithmetic number, because the mean of its divisors is an integer number (50560100061).

Almost surely, 2101120200121 is an apocalyptic number.

It is an amenable number.

101120200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120200121 is an equidigital number, since it uses as much as digits as its factorization.

101120200121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101120200121 its reverse (121002021101), we get a palindrome (222122221222).

The spelling of 101120200121 in words is "one hundred one billion, one hundred twenty million, two hundred thousand, one hundred twenty-one".