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100221220012093 is a prime number
BaseRepresentation
bin10110110010011010010010…
…001101111100000000111101
3111010212001111010210111222221
4112302122102031330000331
5101114011024310341333
6553052554243205341
730052513155210565
oct2662322215740075
9433761433714887
10100221220012093
1129a2a642a31554
12b2a7663976851
1343bca8881cc9b
141aa6a39237da5
15b8beb5b4ed2d
hex5b269237c03d

100221220012093 has 2 divisors, whose sum is σ = 100221220012094. Its totient is φ = 100221220012092.

The previous prime is 100221220011919. The next prime is 100221220012127. The reversal of 100221220012093 is 390210022122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74788543953369 + 25432676058724 = 8648037^2 + 5043082^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221220012093 - 225 = 100221186457661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221220912093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110610006046 + 50110610006047.

It is an arithmetic number, because the mean of its divisors is an integer number (50110610006047).

Almost surely, 2100221220012093 is an apocalyptic number.

It is an amenable number.

100221220012093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221220012093 is an equidigital number, since it uses as much as digits as its factorization.

100221220012093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 100221220012093 its reverse (390210022122001), we get a palindrome (490431242134094).

The spelling of 100221220012093 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty million, twelve thousand, ninety-three".