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102210022001 is a prime number
BaseRepresentation
bin101111100110000110…
…0010010101001110001
3100202211012012002111102
41133030030102221301
53133311231201001
6114542111254145
710245600565223
oct1371414225161
9322735162442
10102210022001
113a38a99036a
1217985b1a355
13983b63c979
144d3878a413
1529d3285e6b
hex17cc312a71

102210022001 has 2 divisors, whose sum is σ = 102210022002. Its totient is φ = 102210022000.

The previous prime is 102210021989. The next prime is 102210022007. The reversal of 102210022001 is 100220012201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73670987776 + 28539034225 = 271424^2 + 168935^2 .

It is an emirp because it is prime and its reverse (100220012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102210022001 - 214 = 102210005617 is a prime.

It is a super-3 number, since 3×1022100220013 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102210022007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105011000 + 51105011001.

It is an arithmetic number, because the mean of its divisors is an integer number (51105011001).

Almost surely, 2102210022001 is an apocalyptic number.

It is an amenable number.

102210022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210022001 is an equidigital number, since it uses as much as digits as its factorization.

102210022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102210022001 its reverse (100220012201), we get a palindrome (202430034202).

The spelling of 102210022001 in words is "one hundred two billion, two hundred ten million, twenty-two thousand, one".