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100012312321 is a prime number
BaseRepresentation
bin101110100100100110…
…0101100011100000001
3100120011000210212120121
41131021030230130001
53114311122443241
6113540042540241
710140253425325
oct1351114543401
9316130725517
10100012312321
1139462385579
1217471b07681
13957b23093c
144baa947985
15290536cad1
hex174932c701

100012312321 has 2 divisors, whose sum is σ = 100012312322. Its totient is φ = 100012312320.

The previous prime is 100012312319. The next prime is 100012312339. The reversal of 100012312321 is 123213210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58032810000 + 41979502321 = 240900^2 + 204889^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012312321 - 21 = 100012312319 is a prime.

Together with 100012312319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100012312295 and 100012312304.

It is not a weakly prime, because it can be changed into another prime (100012312381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006156160 + 50006156161.

It is an arithmetic number, because the mean of its divisors is an integer number (50006156161).

Almost surely, 2100012312321 is an apocalyptic number.

It is an amenable number.

100012312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012312321 is an equidigital number, since it uses as much as digits as its factorization.

100012312321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100012312321 its reverse (123213210001), we get a palindrome (223225522322).

The spelling of 100012312321 in words is "one hundred billion, twelve million, three hundred twelve thousand, three hundred twenty-one".