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10212120077 is a prime number
BaseRepresentation
bin10011000001011000…
…01001011000001101
3222100200220110011112
421200230021120031
5131403300320302
64405201101405
7511031405555
oct114054113015
928320813145
1010212120077
114370525a65
121b90027865
13c69929303
146cc3bc165
153eb80d552
hex260b0960d

10212120077 has 2 divisors, whose sum is σ = 10212120078. Its totient is φ = 10212120076.

The previous prime is 10212120073. The next prime is 10212120143. The reversal of 10212120077 is 77002121201.

10212120077 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8945187241 + 1266932836 = 94579^2 + 35594^2 .

It is an emirp because it is prime and its reverse (77002121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10212120077 - 22 = 10212120073 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212120073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106060038 + 5106060039.

It is an arithmetic number, because the mean of its divisors is an integer number (5106060039).

Almost surely, 210212120077 is an apocalyptic number.

It is an amenable number.

10212120077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212120077 is an equidigital number, since it uses as much as digits as its factorization.

10212120077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 10212120077 its reverse (77002121201), we get a palindrome (87214241278).

The spelling of 10212120077 in words is "ten billion, two hundred twelve million, one hundred twenty thousand, seventy-seven".