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100101000977 is a prime number
BaseRepresentation
bin101110100111001111…
…1000000111100010001
3100120101012200201112122
41131032133000330101
53120001324012402
6113552531504025
710142411316665
oct1351637007421
9316335621478
10100101000977
11394a845068a
1217497758015
139593713a33
144bb86328a5
15290d03aca2
hex174e7c0f11

100101000977 has 2 divisors, whose sum is σ = 100101000978. Its totient is φ = 100101000976.

The previous prime is 100101000949. The next prime is 100101001027. The reversal of 100101000977 is 779000101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58061239681 + 42039761296 = 240959^2 + 205036^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101000977 - 214 = 100100984593 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101000917) 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, 50050500488 + 50050500489.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500489).

Almost surely, 2100101000977 is an apocalyptic number.

It is an amenable number.

100101000977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101000977 is an equidigital number, since it uses as much as digits as its factorization.

100101000977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 26.

Adding to 100101000977 its reverse (779000101001), we get a palindrome (879101101978).

The spelling of 100101000977 in words is "one hundred billion, one hundred one million, nine hundred seventy-seven", and thus it is an aban number.