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100222071217 is a prime number
BaseRepresentation
bin101110101010110110…
…0110111000110110001
3100120200122111201200121
41131111230313012301
53120223322234332
6114012534450241
710145411356312
oct1352554670661
9316618451617
10100222071217
113955a823534
1217510203981
1395b2823b28
144bca74a609
1529189a3797
hex1755b371b1

100222071217 has 2 divisors, whose sum is σ = 100222071218. Its totient is φ = 100222071216.

The previous prime is 100222071193. The next prime is 100222071223. The reversal of 100222071217 is 712170222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95116111281 + 5105959936 = 308409^2 + 71456^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222071217 is a prime.

It is a super-2 number, since 2×1002220712172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100222071191 and 100222071200.

It is not a weakly prime, because it can be changed into another prime (100222071277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111035608 + 50111035609.

It is an arithmetic number, because the mean of its divisors is an integer number (50111035609).

Almost surely, 2100222071217 is an apocalyptic number.

It is an amenable number.

100222071217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222071217 is an equidigital number, since it uses as much as digits as its factorization.

100222071217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 100222071217 its reverse (712170222001), we get a palindrome (812392293218).

The spelling of 100222071217 in words is "one hundred billion, two hundred twenty-two million, seventy-one thousand, two hundred seventeen".