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212100221120093 is a prime number
BaseRepresentation
bin110000001110011101101110…
…010101100010111001011101
31000210222120202002102120100122
4300032131232111202321131
5210300022223101320333
62031033255122004325
762450510126645525
oct6016355625427135
91023876662376318
10212100221120093
1161644220421029
121b95653aaa66a5
139146c7122b697
143a539c3b82685
15197c330826798
hexc0e76e562e5d

212100221120093 has 2 divisors, whose sum is σ = 212100221120094. Its totient is φ = 212100221120092.

The previous prime is 212100221120009. The next prime is 212100221120113. The reversal of 212100221120093 is 390021122001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212097920670724 + 2300449369 = 14563582^2 + 47963^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100221120093 - 214 = 212100221103709 is a prime.

It is a super-3 number, since 3×2121002211200933 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100221122093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050110560046 + 106050110560047.

It is an arithmetic number, because the mean of its divisors is an integer number (106050110560047).

Almost surely, 2212100221120093 is an apocalyptic number.

It is an amenable number.

212100221120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100221120093 is an equidigital number, since it uses as much as digits as its factorization.

212100221120093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 212100221120093 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty-one million, one hundred twenty thousand, ninety-three".