Search a number
-
+
10121200127 is a prime number
BaseRepresentation
bin10010110110100010…
…10100000111111111
3222010100211020102222
421123101110013333
5131212011401002
64352152235555
7505545532043
oct113321240777
928110736388
1010121200127
114324176505
121b6569bbbb
13c53b4471c
146c02b2023
153e384e1a2
hex25b4541ff

10121200127 has 2 divisors, whose sum is σ = 10121200128. Its totient is φ = 10121200126.

The previous prime is 10121200049. The next prime is 10121200139. The reversal of 10121200127 is 72100212101.

It is a strong prime.

It is an emirp because it is prime and its reverse (72100212101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121200127 - 212 = 10121196031 is a prime.

It is a super-2 number, since 2×101212001272 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121200147) 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, 5060600063 + 5060600064.

It is an arithmetic number, because the mean of its divisors is an integer number (5060600064).

Almost surely, 210121200127 is an apocalyptic number.

10121200127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121200127 is an equidigital number, since it uses as much as digits as its factorization.

10121200127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10121200127 its reverse (72100212101), we get a palindrome (82221412228).

The spelling of 10121200127 in words is "ten billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-seven".