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212101000210901 is a prime number
BaseRepresentation
bin110000001110011110011100…
…110001100010100111010101
31000210222122202101102111000202
4300032132130301202213111
5210300030322023222101
62031033504312350245
762450535340055354
oct6016363461424725
91023878671374022
10212101000210901
116164459018052a
121b9567179a5385
139147066770369
143a53a5942799b
15197c378e1d36b
hexc0e79cc629d5

212101000210901 has 2 divisors, whose sum is σ = 212101000210902. Its totient is φ = 212101000210900.

The previous prime is 212101000210889. The next prime is 212101000210933. The reversal of 212101000210901 is 109012000101212.

212101000210901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189813168652900 + 22287831558001 = 13777270^2 + 4720999^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101000210901 - 218 = 212100999948757 is a prime.

It is a super-3 number, since 3×2121010002109013 (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 (212101000210951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050500105450 + 106050500105451.

It is an arithmetic number, because the mean of its divisors is an integer number (106050500105451).

Almost surely, 2212101000210901 is an apocalyptic number.

It is an amenable number.

212101000210901 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101000210901 is an equidigital number, since it uses as much as digits as its factorization.

212101000210901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 212101000210901 in words is "two hundred twelve trillion, one hundred one billion, two hundred ten thousand, nine hundred one".