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102210102101 is a prime number
BaseRepresentation
bin101111100110000110…
…0100110001101010101
3100202211012100011101002
41133030030212031111
53133311241231401
6114542113113045
710245601350602
oct1371414461525
9322735304332
10102210102101
113a38aa35568
1217985b58785
13983b66a273
144d387ab6a9
1529d329ea6b
hex17cc326355

102210102101 has 2 divisors, whose sum is σ = 102210102102. Its totient is φ = 102210102100.

The previous prime is 102210102073. The next prime is 102210102107. The reversal of 102210102101 is 101201012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88759901476 + 13450200625 = 297926^2 + 115975^2 .

It is an emirp because it is prime and its reverse (101201012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102210102101 - 230 = 101136360277 is a prime.

It is a super-3 number, since 3×1022101021013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102210102107) 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, 51105051050 + 51105051051.

It is an arithmetic number, because the mean of its divisors is an integer number (51105051051).

Almost surely, 2102210102101 is an apocalyptic number.

It is an amenable number.

102210102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210102101 is an equidigital number, since it uses as much as digits as its factorization.

102210102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102210102101 its reverse (101201012201), we get a palindrome (203411114302).

The spelling of 102210102101 in words is "one hundred two billion, two hundred ten million, one hundred two thousand, one hundred one".