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100388668201 is a prime number
BaseRepresentation
bin101110101111110100…
…0011000001100101001
3100121010020222201210021
41131133220120030221
53121043444340301
6114041245320441
710152503412643
oct1353750301451
9317106881707
10100388668201
1139635871298
1217557b66121
13960b1b4223
144c04915893
1529284108a1
hex175fa18329

100388668201 has 2 divisors, whose sum is σ = 100388668202. Its totient is φ = 100388668200.

The previous prime is 100388668189. The next prime is 100388668231. The reversal of 100388668201 is 102866883001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98859936400 + 1528731801 = 314420^2 + 39099^2 .

It is an emirp because it is prime and its reverse (102866883001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100388668201 - 221 = 100386571049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100388668231) 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, 50194334100 + 50194334101.

It is an arithmetic number, because the mean of its divisors is an integer number (50194334101).

Almost surely, 2100388668201 is an apocalyptic number.

It is an amenable number.

100388668201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100388668201 is an equidigital number, since it uses as much as digits as its factorization.

100388668201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 100388668201 in words is "one hundred billion, three hundred eighty-eight million, six hundred sixty-eight thousand, two hundred one".