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122100012217 is a prime number
BaseRepresentation
bin111000110110110111…
…0100101010010111001
3102200011100201021200201
41301231232211102321
54000030100342332
6132031511002201
711551515660001
oct1615556452271
9380140637621
10122100012217
1147867301407
121b7b7069361
13b68b2aa951
145ca41d7001
1532995215e7
hex1c6dba54b9

122100012217 has 2 divisors, whose sum is σ = 122100012218. Its totient is φ = 122100012216.

The previous prime is 122100012191. The next prime is 122100012269. The reversal of 122100012217 is 712210001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120967622416 + 1132389801 = 347804^2 + 33651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122100012217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122100012194 and 122100012203.

It is not a weakly prime, because it can be changed into another prime (122100012317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050006108 + 61050006109.

It is an arithmetic number, because the mean of its divisors is an integer number (61050006109).

Almost surely, 2122100012217 is an apocalyptic number.

It is an amenable number.

122100012217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100012217 is an equidigital number, since it uses as much as digits as its factorization.

122100012217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 122100012217 its reverse (712210001221), we get a palindrome (834310013438).

The spelling of 122100012217 in words is "one hundred twenty-two billion, one hundred million, twelve thousand, two hundred seventeen".