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101443124401 is a prime number
BaseRepresentation
bin101111001111001111…
…0110011110010110001
3100200211202010122202121
41132132132303302301
53130223414440101
6114334034114241
710220566221163
oct1363636636261
9320752118677
10101443124401
113a026aa98a3
12177b111b981
1397487a9bc8
144ca499a933
15298ac9c0a1
hex179e7b3cb1

101443124401 has 2 divisors, whose sum is σ = 101443124402. Its totient is φ = 101443124400.

The previous prime is 101443124399. The next prime is 101443124423. The reversal of 101443124401 is 104421344101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82475224225 + 18967900176 = 287185^2 + 137724^2 .

It is an emirp because it is prime and its reverse (104421344101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101443124401 - 21 = 101443124399 is a prime.

Together with 101443124399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101443124441) 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, 50721562200 + 50721562201.

It is an arithmetic number, because the mean of its divisors is an integer number (50721562201).

Almost surely, 2101443124401 is an apocalyptic number.

It is an amenable number.

101443124401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101443124401 is an equidigital number, since it uses as much as digits as its factorization.

101443124401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 101443124401 its reverse (104421344101), we get a palindrome (205864468502).

The spelling of 101443124401 in words is "one hundred one billion, four hundred forty-three million, one hundred twenty-four thousand, four hundred one".