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122100202117 is a prime number
BaseRepresentation
bin111000110110110111…
…1010011101010000101
3102200011101001221012001
41301231233103222011
54000030122431432
6132031515025301
711551520410435
oct1615557235205
9380141057161
10122100202117
1147867421053
121b7b713b231
13b68b34620a
145ca42462c5
15329955c9e7
hex1c6dbd3a85

122100202117 has 2 divisors, whose sum is σ = 122100202118. Its totient is φ = 122100202116.

The previous prime is 122100202043. The next prime is 122100202123. The reversal of 122100202117 is 711202001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84731059396 + 37369142721 = 291086^2 + 193311^2 .

It is an emirp because it is prime and its reverse (711202001221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122100202117 - 211 = 122100200069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122100202094 and 122100202103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100202717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050101058 + 61050101059.

It is an arithmetic number, because the mean of its divisors is an integer number (61050101059).

Almost surely, 2122100202117 is an apocalyptic number.

It is an amenable number.

122100202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100202117 is an equidigital number, since it uses as much as digits as its factorization.

122100202117 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 122100202117 its reverse (711202001221), we get a palindrome (833302203338).

The spelling of 122100202117 in words is "one hundred twenty-two billion, one hundred million, two hundred two thousand, one hundred seventeen".