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122010000001 is a prime number
BaseRepresentation
bin111000110100001011…
…1001101101010000001
3102122221002100012010221
41301220113031222001
53444334030000001
6132014533423041
711546343613501
oct1615027155201
9378832305127
10122010000001
114782051194a
121b790a9aa81
13b675753296
145c96285a01
1532916911a1
hex1c685cda81

122010000001 has 2 divisors, whose sum is σ = 122010000002. Its totient is φ = 122010000000.

The previous prime is 122009999987. The next prime is 122010000017. The reversal of 122010000001 is 100000010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120633960976 + 1376039025 = 347324^2 + 37095^2 .

It is a cyclic number.

It is not a de Polignac number, because 122010000001 - 213 = 122009991809 is a prime.

It is not a weakly prime, because it can be changed into another prime (122010000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005000000 + 61005000001.

It is an arithmetic number, because the mean of its divisors is an integer number (61005000001).

Almost surely, 2122010000001 is an apocalyptic number.

It is an amenable number.

122010000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122010000001 is an equidigital number, since it uses as much as digits as its factorization.

122010000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 122010000001 its reverse (100000010221), we get a palindrome (222010010222).

The spelling of 122010000001 in words is "one hundred twenty-two billion, ten million, one", and thus it is an aban number.