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21221210201121 = 32719110316073131
BaseRepresentation
bin1001101001100111100101…
…01100100001110000100001
32210010201122121220110201200
410310303302230201300201
510240142014302413441
6113044520034551413
74320116241324660
oct464636254416041
983121577813650
1021221210201121
116841956a17167
122468990438569
13bac1c7bccab8
1453517d694dd7
1526c02bb907b6
hex134cf2b21c21

21221210201121 has 48 divisors (see below), whose sum is σ = 36909054474240. Its totient is φ = 11477757840480.

The previous prime is 21221210201117. The next prime is 21221210201167. The reversal of 21221210201121 is 12110201212212.

21221210201121 is a `hidden beast` number, since 21 + 221 + 210 + 201 + 12 + 1 = 666.

It is not a de Polignac number, because 21221210201121 - 22 = 21221210201117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21221210201094 and 21221210201103.

It is not an unprimeable number, because it can be changed into a prime (21221210101121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6716275 + ... + 9356856.

It is an arithmetic number, because the mean of its divisors is an integer number (768938634880).

Almost surely, 221221210201121 is an apocalyptic number.

21221210201121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21221210201121 is a deficient number, since it is larger than the sum of its proper divisors (15687844273119).

21221210201121 is a wasteful number, since it uses less digits than its factorization.

21221210201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16074266 (or 16074263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21221210201121 its reverse (12110201212212), we get a palindrome (33331411413333).

The spelling of 21221210201121 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred ten million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1103 1197 3309 7721 9927 20957 23163 62871 69489 146699 188613 440097 1320291 16073131 48219393 112511917 144658179 305389489 337535751 916168467 1012607253 2137726423 2748505401 6413179269 17728663493 19239537807 53185990479 124100644451 159557971437 336844606367 372301933353 1010533819101 1116905800059 2357912244569 3031601457303 7073736733707 21221210201121