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21121022200201 = 71121910719876173
BaseRepresentation
bin1001100110101100111110…
…00001101000100110001001
32202210011001100111200200221
410303112133001220212021
510232021323140401301
6112530510314230041
74306641422345560
oct463263701504611
982704040450627
1021121022200201
116803414454200
12245148b725321
13ba291c477811
14530397696bd7
152696161bbda1
hex13359f068989

21121022200201 has 96 divisors (see below), whose sum is σ = 28208395514880. Its totient is φ = 15435740453760.

The previous prime is 21121022200141. The next prime is 21121022200261. The reversal of 21121022200201 is 10200222012112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21121022200141) and next prime (21121022200261).

It is not a de Polignac number, because 21121022200201 - 233 = 21112432265609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21121022200261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3421513551 + ... + 3421519723.

It is an arithmetic number, because the mean of its divisors is an integer number (293837453280).

Almost surely, 221121022200201 is an apocalyptic number.

It is an amenable number.

21121022200201 is a deficient number, since it is larger than the sum of its proper divisors (7087373314679).

21121022200201 is a wasteful number, since it uses less digits than its factorization.

21121022200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21121022200201 its reverse (10200222012112), we get a palindrome (31321244212313).

The spelling of 21121022200201 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, two hundred thousand, two hundred one".

Divisors: 1 7 11 19 77 107 121 133 209 749 847 1177 1463 1987 2033 2299 6173 8239 12947 13909 14231 16093 21857 22363 37753 43211 67903 90629 117287 152999 156541 212609 240427 245993 264271 415283 475321 660511 746933 821009 1290157 1488263 1682989 1721951 2338699 2906981 4039571 4568113 4623577 5228531 7265621 9031099 12265751 12549709 14191727 16370893 25725689 28276997 31976791 44435281 50859347 79921831 85860257 87847963 99342089 134923261 138046799 180079823 233049269 311046967 488788091 559452817 944462827 966327593 1312435357 1484155871 1518514789 1631344883 2563541959 3421516637 9187047499 10389091097 10629603523 14436788927 17944793713 24936271783 28198961549 101057522489 158804678197 174553902481 197392730843 274298989613 1111632747379 1920092927291 3017288885743 21121022200201