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10120110001 is a prime number
BaseRepresentation
bin10010110110011010…
…01001111110110001
3222010021202212001221
421123031021332301
5131211222010001
64352113025041
7505533341611
oct113315117661
928107685057
1010120110001
1143235a1481
121b65255181
13c53852491
146c00aaa41
153e36d61a1
hex25b349fb1

10120110001 has 2 divisors, whose sum is σ = 10120110002. Its totient is φ = 10120110000.

The previous prime is 10120109999. The next prime is 10120110041. The reversal of 10120110001 is 10001102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9638526976 + 481583025 = 98176^2 + 21945^2 .

It is an emirp because it is prime and its reverse (10001102101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10120110001 - 21 = 10120109999 is a prime.

Together with 10120109999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10120110041) 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, 5060055000 + 5060055001.

It is an arithmetic number, because the mean of its divisors is an integer number (5060055001).

Almost surely, 210120110001 is an apocalyptic number.

It is an amenable number.

10120110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120110001 is an equidigital number, since it uses as much as digits as its factorization.

10120110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10120110001 its reverse (10001102101), we get a palindrome (20121212102).

The spelling of 10120110001 in words is "ten billion, one hundred twenty million, one hundred ten thousand, one".