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222101100100093 is a prime number
BaseRepresentation
bin110010011111111111110001…
…001011001111100111111101
31002010101122202112121122001211
4302133333301023033213331
5213102401023111200333
62104211500430404421
764532163210454054
oct6237776113174775
91063348675548054
10222101100100093
116484a60292a7a5
1220ab0821060711
1396c1075500ac6
143cbba7191939b
151aa255c9e2ecd
hexc9fff12cf9fd

222101100100093 has 2 divisors, whose sum is σ = 222101100100094. Its totient is φ = 222101100100092.

The previous prime is 222101100100007. The next prime is 222101100100151. The reversal of 222101100100093 is 390001001101222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118357036156804 + 103744063943289 = 10879202^2 + 10185483^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222101100100093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222101100100793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111050550050046 + 111050550050047.

It is an arithmetic number, because the mean of its divisors is an integer number (111050550050047).

Almost surely, 2222101100100093 is an apocalyptic number.

It is an amenable number.

222101100100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

222101100100093 is an equidigital number, since it uses as much as digits as its factorization.

222101100100093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 222101100100093 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred million, one hundred thousand, ninety-three".