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102331010101 is a prime number
BaseRepresentation
bin101111101001101100…
…1110100110000110101
3100210010121211220222011
41133103121310300311
53134033214310401
6115002112404221
710251600143215
oct1372331646065
9323117756864
10102331010101
113a442207531
12179ba546671
13985a721568
144d4a882245
1529ddbd4451
hex17d3674c35

102331010101 has 2 divisors, whose sum is σ = 102331010102. Its totient is φ = 102331010100.

The previous prime is 102331010087. The next prime is 102331010153. The reversal of 102331010101 is 101010133201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97188686001 + 5142324100 = 311751^2 + 71710^2 .

It is a cyclic number.

It is not a de Polignac number, because 102331010101 - 25 = 102331010069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102331010161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51165505050 + 51165505051.

It is an arithmetic number, because the mean of its divisors is an integer number (51165505051).

Almost surely, 2102331010101 is an apocalyptic number.

It is an amenable number.

102331010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102331010101 is an equidigital number, since it uses as much as digits as its factorization.

102331010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 102331010101 its reverse (101010133201), we get a palindrome (203341143302).

The spelling of 102331010101 in words is "one hundred two billion, three hundred thirty-one million, ten thousand, one hundred one".