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10010121111649 is a prime number
BaseRepresentation
bin1001000110101010100110…
…1101101000100001100001
31022102221212112212222220101
42101222221231220201201
52303001212001033044
633142330335342401
72052131063360401
oct221525155504141
938387775788811
1010010121111649
11320a2a5449aaa
121158041381a01
13577c47c6b899
142686c73ba801
151255bd775cd4
hex91aa9b68861

10010121111649 has 2 divisors, whose sum is σ = 10010121111650. Its totient is φ = 10010121111648.

The previous prime is 10010121111647. The next prime is 10010121111707. The reversal of 10010121111649 is 94611112101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8891984055249 + 1118137056400 = 2981943^2 + 1057420^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010121111649 - 21 = 10010121111647 is a prime.

Together with 10010121111647, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10010121111647) 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, 5005060555824 + 5005060555825.

It is an arithmetic number, because the mean of its divisors is an integer number (5005060555825).

Almost surely, 210010121111649 is an apocalyptic number.

It is an amenable number.

10010121111649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010121111649 is an equidigital number, since it uses as much as digits as its factorization.

10010121111649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 28.

The spelling of 10010121111649 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred eleven thousand, six hundred forty-nine".