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10212011200117 is a prime number
BaseRepresentation
bin1001010010011010101101…
…0011001100111001110101
31100011020222121201010100101
42110212223103030321311
52314303144331400432
633415155544514101
72102536104663406
oct224465323147165
940136877633311
1010212011200117
113287987106691
12118b1a5a7b931
13590cb0a310ac
1427439a5059ad
1512a987aeb4e7
hex949ab4cce75

10212011200117 has 2 divisors, whose sum is σ = 10212011200118. Its totient is φ = 10212011200116.

The previous prime is 10212011200109. The next prime is 10212011200133. The reversal of 10212011200117 is 71100211021201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9310956520996 + 901054679121 = 3051386^2 + 949239^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212011200117 - 23 = 10212011200109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212011200094 and 10212011200103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212011200147) 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, 5106005600058 + 5106005600059.

It is an arithmetic number, because the mean of its divisors is an integer number (5106005600059).

Almost surely, 210212011200117 is an apocalyptic number.

It is an amenable number.

10212011200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212011200117 is an equidigital number, since it uses as much as digits as its factorization.

10212011200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 10212011200117 its reverse (71100211021201), we get a palindrome (81312222221318).

The spelling of 10212011200117 in words is "ten trillion, two hundred twelve billion, eleven million, two hundred thousand, one hundred seventeen".