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11001021012097 is a prime number
BaseRepresentation
bin1010000000010101111111…
…1100110001100010000001
31102221200120001212110121021
42200011133330301202001
52420220042334341342
635221444351225441
72213540361510064
oct240053774614201
942850501773537
1011001021012097
113561563624466
1212980a3818281
1361a512b0a21c
142a0648dd28db
1514126613b567
hexa015ff31881

11001021012097 has 2 divisors, whose sum is σ = 11001021012098. Its totient is φ = 11001021012096.

The previous prime is 11001021012083. The next prime is 11001021012133. The reversal of 11001021012097 is 79021012010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8771601732721 + 2229419279376 = 2961689^2 + 1493124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11001021012097 is a prime.

It is not a weakly prime, because it can be changed into another prime (11001021012077) 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, 5500510506048 + 5500510506049.

It is an arithmetic number, because the mean of its divisors is an integer number (5500510506049).

Almost surely, 211001021012097 is an apocalyptic number.

It is an amenable number.

11001021012097 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001021012097 is an equidigital number, since it uses as much as digits as its factorization.

11001021012097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 25.

The spelling of 11001021012097 in words is "eleven trillion, one billion, twenty-one million, twelve thousand, ninety-seven".