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102200122001 is a prime number
BaseRepresentation
bin101111100101110011…
…0100001101010010001
3100202210111120010020202
41133023212201222101
53133301212401001
6114541115144545
710245420463235
oct1371346415221
9322714503222
10102200122001
113a38533934a
1217982745155
139839584793
144d373305c5
1529d247c96b
hex17cb9a1a91

102200122001 has 2 divisors, whose sum is σ = 102200122002. Its totient is φ = 102200122000.

The previous prime is 102200121967. The next prime is 102200122027. The reversal of 102200122001 is 100221002201.

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., 92219112976 + 9981009025 = 303676^2 + 99905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102200122001 is a prime.

It is not a weakly prime, because it can be changed into another prime (102200122201) 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, 51100061000 + 51100061001.

It is an arithmetic number, because the mean of its divisors is an integer number (51100061001).

Almost surely, 2102200122001 is an apocalyptic number.

It is an amenable number.

102200122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200122001 is an equidigital number, since it uses as much as digits as its factorization.

102200122001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102200122001 its reverse (100221002201), we get a palindrome (202421124202).

The spelling of 102200122001 in words is "one hundred two billion, two hundred million, one hundred twenty-two thousand, one".