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10440212122097 is a prime number
BaseRepresentation
bin1001011111101100110100…
…1000101000100111110001
31100222002000100000002010122
42113323031020220213301
52332023023300401342
634112100042340025
72125165121552012
oct227731510504761
940862010002118
1010440212122097
11336573a62697a
121207471aba615
135a967a788b44
14281447b19009
15131891c744d2
hex97ecd2289f1

10440212122097 has 2 divisors, whose sum is σ = 10440212122098. Its totient is φ = 10440212122096.

The previous prime is 10440212122069. The next prime is 10440212122133. The reversal of 10440212122097 is 79022121204401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9626970685696 + 813241436401 = 3102736^2 + 901799^2 .

It is an emirp because it is prime and its reverse (79022121204401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10440212122097 - 212 = 10440212118001 is a prime.

It is a super-2 number, since 2×104402121220972 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10440212122007) 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, 5220106061048 + 5220106061049.

It is an arithmetic number, because the mean of its divisors is an integer number (5220106061049).

Almost surely, 210440212122097 is an apocalyptic number.

It is an amenable number.

10440212122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10440212122097 is an equidigital number, since it uses as much as digits as its factorization.

10440212122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

Adding to 10440212122097 its reverse (79022121204401), we get a palindrome (89462333326498).

The spelling of 10440212122097 in words is "ten trillion, four hundred forty billion, two hundred twelve million, one hundred twenty-two thousand, ninety-seven".