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21222122200101 = 3237349918213803
BaseRepresentation
bin1001101001101001010010…
…00011100001110000100101
32210010211000011222211010200
410310310221003201300211
510240200401240400401
6113045150334141113
74320150654230064
oct464645103416045
983124004884120
1021222122200101
1168422847a4529
122468ba5951799
13bac311b37b74
145352288561db
1526c081c8c686
hex134d290e1c25

21222122200101 has 24 divisors (see below), whose sum is σ = 31491667116000. Its totient is φ = 13761765949536.

The previous prime is 21222122200079. The next prime is 21222122200127. The reversal of 21222122200101 is 10100222122212.

It is a happy number.

21222122200101 is a `hidden beast` number, since 21 + 222 + 122 + 200 + 101 = 666.

It is not a de Polignac number, because 21222122200101 - 29 = 21222122199589 is a prime.

It is a super-3 number, since 3×212221222001013 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222122210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7941735 + ... + 10272068.

It is an arithmetic number, because the mean of its divisors is an integer number (1312152796500).

Almost surely, 221222122200101 is an apocalyptic number.

It is an amenable number.

21222122200101 is a deficient number, since it is larger than the sum of its proper divisors (10269544915899).

21222122200101 is a wasteful number, since it uses less digits than its factorization.

21222122200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18217345 (or 18217342 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222122200101 its reverse (10100222122212), we get a palindrome (31322344322313).

The spelling of 21222122200101 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 3 9 37 111 333 3499 10497 31491 129463 388389 1165167 18213803 54641409 163924227 673910711 2021732133 6065196399 63730096697 191190290091 573570870273 2358013577789 7074040733367 21222122200101