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122001000001 is a prime number
BaseRepresentation
bin111000110011111010…
…0111000011001000001
3102122220110101221110121
41301213310320121001
53444324224000001
6132014012500241
711546204250436
oct1614764703101
9378813357417
10122001000001
1147816425031
121b789a7a681
13b67392193a
145c94dc1b8d
1532909b46a1
hex1c67d38641

122001000001 has 2 divisors, whose sum is σ = 122001000002. Its totient is φ = 122001000000.

The previous prime is 122000999977. The next prime is 122001000029. The reversal of 122001000001 is 100000100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63534243600 + 58466756401 = 252060^2 + 241799^2 .

It is a cyclic number.

It is not a de Polignac number, because 122001000001 - 235 = 87641261633 is a prime.

It is not a weakly prime, because it can be changed into another prime (122601000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000500000 + 61000500001.

It is an arithmetic number, because the mean of its divisors is an integer number (61000500001).

Almost surely, 2122001000001 is an apocalyptic number.

It is an amenable number.

122001000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122001000001 is an equidigital number, since it uses as much as digits as its factorization.

122001000001 is an evil number, because the sum of its binary digits is even.

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

Adding to 122001000001 its reverse (100000100221), we get a palindrome (222001100222).

The spelling of 122001000001 in words is "one hundred twenty-two billion, one million, one", and thus it is an aban number.