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100212022221217 is a prime number
BaseRepresentation
bin10110110010010001101101…
…111111001001100110100001
3111010211011202010112022220121
4112302101231333021212201
5101113333210142034332
6553044433434440241
730052036221243004
oct2662215577114641
9433734663468817
10100212022221217
1129a26753027095
12b2a5917593081
1343bbc510aa08a
141aa640585753b
15b8bb28403797
hex5b246dfc99a1

100212022221217 has 2 divisors, whose sum is σ = 100212022221218. Its totient is φ = 100212022221216.

The previous prime is 100212022221187. The next prime is 100212022221229. The reversal of 100212022221217 is 712122220212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78276203643456 + 21935818577761 = 8847384^2 + 4683569^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212022221217 - 243 = 91415929199009 is a prime.

It is a super-2 number, since 2×1002120222212172 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212022221191 and 100212022221200.

It is not a weakly prime, because it can be changed into another prime (100212022821217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106011110608 + 50106011110609.

It is an arithmetic number, because the mean of its divisors is an integer number (50106011110609).

Almost surely, 2100212022221217 is an apocalyptic number.

It is an amenable number.

100212022221217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212022221217 is an equidigital number, since it uses as much as digits as its factorization.

100212022221217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 100212022221217 its reverse (712122220212001), we get a palindrome (812334242433218).

The spelling of 100212022221217 in words is "one hundred trillion, two hundred twelve billion, twenty-two million, two hundred twenty-one thousand, two hundred seventeen".