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1010100909089 is a prime number
BaseRepresentation
bin11101011001011101011…
…01001011010000100001
310120120020200001202212002
432230232231023100201
5113022141313042324
62052011200013345
7132656146030406
oct16545655132041
93516220052762
101010100909089
1135a4216a2448
12143920901255
1374337b5751c
1436c63b562ad
151b41d4083ae
hexeb2eb4b421

1010100909089 has 2 divisors, whose sum is σ = 1010100909090. Its totient is φ = 1010100909088.

The previous prime is 1010100909029. The next prime is 1010100909121. The reversal of 1010100909089 is 9809090010101.

It is a happy number.

1010100909089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 702084789025 + 308016120064 = 837905^2 + 554992^2 .

It is an emirp because it is prime and its reverse (9809090010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100909089 - 212 = 1010100904993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010100909029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050454544 + 505050454545.

It is an arithmetic number, because the mean of its divisors is an integer number (505050454545).

Almost surely, 21010100909089 is an apocalyptic number.

It is an amenable number.

1010100909089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100909089 is an equidigital number, since it uses as much as digits as its factorization.

1010100909089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 38.

The spelling of 1010100909089 in words is "one trillion, ten billion, one hundred million, nine hundred nine thousand, eighty-nine".