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102124454209 is a prime number
BaseRepresentation
bin101111100011100010…
…1111000000101000001
3100202121020011210112221
41133013011320011001
53133122330013314
6114525413251041
710243511352361
oct1370705700501
9322536153487
10102124454209
113a346656a88
1217961333a81
1398269b023b
144d2b2749a1
1529ca9d2824
hex17c7178141

102124454209 has 2 divisors, whose sum is σ = 102124454210. Its totient is φ = 102124454208.

The previous prime is 102124454147. The next prime is 102124454231. The reversal of 102124454209 is 902454421201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76976837809 + 25147616400 = 277447^2 + 158580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102124454209 is a prime.

It is a super-2 number, since 2×1021244542092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102124454009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51062227104 + 51062227105.

It is an arithmetic number, because the mean of its divisors is an integer number (51062227105).

Almost surely, 2102124454209 is an apocalyptic number.

It is an amenable number.

102124454209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102124454209 is an equidigital number, since it uses as much as digits as its factorization.

102124454209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 102124454209 in words is "one hundred two billion, one hundred twenty-four million, four hundred fifty-four thousand, two hundred nine".