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202121211101121 = 34132380811032739
BaseRepresentation
bin101101111101010000000010…
…111111010011111111000001
3222111122121011201112211110000
4231331100002333103333001
5202443023220020213441
61553513111425030213
760400530014220204
oct5575200277237701
9874577151484400
10202121211101121
1159447140417474
121a804540785369
1388a1c438ba8a0
1437caa0c5d993b
1518579835022b6
hexb7d402fd3fc1

202121211101121 has 80 divisors (see below), whose sum is σ = 339339559870080. Its totient is φ = 118959520458240.

The previous prime is 202121211101113. The next prime is 202121211101219. The reversal of 202121211101121 is 121101112121202.

It is a happy number.

202121211101121 is a `hidden beast` number, since 20 + 212 + 1 + 211 + 101 + 121 = 666.

It is not a de Polignac number, because 202121211101121 - 23 = 202121211101113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202121211101094 and 202121211101103.

It is not an unprimeable number, because it can be changed into a prime (202121211101111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 195197370 + ... + 196230108.

It is an arithmetic number, because the mean of its divisors is an integer number (4241744498376).

Almost surely, 2202121211101121 is an apocalyptic number.

It is an amenable number.

202121211101121 is a deficient number, since it is larger than the sum of its proper divisors (137218348768959).

202121211101121 is a wasteful number, since it uses less digits than its factorization.

202121211101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040868 (or 1040859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 202121211101121 its reverse (121101112121202), we get a palindrome (323222323222323).

The spelling of 202121211101121 in words is "two hundred two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 23 27 39 69 81 117 207 299 351 621 897 1053 1863 2691 8073 8081 24219 24243 72729 105053 185863 218187 315159 557589 654561 945477 1032739 1672767 2416219 2836431 3098217 5018301 7248657 8509293 9294651 13425607 15054903 21745971 23752997 27883953 40276821 65237913 71258991 83651859 120830463 195713739 213776973 308788961 362491389 641330919 926366883 1087474167 1923992757 2779100649 8337301947 8345563859 25011905841 25036691577 75110074731 108492330167 191947968757 225330224193 325476990501 575843906271 675990672579 976430971503 1727531718813 2495323593841 2929292914509 5182595156439 7485970781523 8787878743527 15547785469317 22457912344569 67373737033707 202121211101121