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10122100217 is a prime number
BaseRepresentation
bin10010110110101001…
…01111110111111001
3222010102111222010122
421123110233313321
5131212224201332
64352223423025
7505556301155
oct113324576771
928112458118
1010122100217
114324730789
121b65a54a75
13c5409b318
146c0468065
153e397ac12
hex25b52fdf9

10122100217 has 2 divisors, whose sum is σ = 10122100218. Its totient is φ = 10122100216.

The previous prime is 10122100201. The next prime is 10122100259. The reversal of 10122100217 is 71200122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9523612921 + 598487296 = 97589^2 + 24464^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122100217 - 24 = 10122100201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122100195 and 10122100204.

It is not a weakly prime, because it can be changed into another prime (10122100267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061050108 + 5061050109.

It is an arithmetic number, because the mean of its divisors is an integer number (5061050109).

Almost surely, 210122100217 is an apocalyptic number.

It is an amenable number.

10122100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122100217 is an equidigital number, since it uses as much as digits as its factorization.

10122100217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10122100217 its reverse (71200122101), we get a palindrome (81322222318).

The spelling of 10122100217 in words is "ten billion, one hundred twenty-two million, one hundred thousand, two hundred seventeen".