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201022222121001 = 33171016197005181
BaseRepresentation
bin101101101101010000100010…
…001001000011100000101001
3222100202112111021220012021000
4231231100202021003200221
5202322022002330333001
61551312200045105213
760225243030061401
oct5555204211034051
9870675437805230
10201022222121001
11590630558266a6
121a667553558209
13882241140a638
14378d75550b801
1518390b16aca86
hexb6d422243829

201022222121001 has 64 divisors (see below), whose sum is σ = 318965550969600. Its totient is φ = 124680995712000.

The previous prime is 201022222120999. The next prime is 201022222121047. The reversal of 201022222121001 is 100121222220102.

It is a happy number.

201022222121001 is a `hidden beast` number, since 2 + 0 + 10 + 222 + 221 + 210 + 0 + 1 = 666.

It is not a de Polignac number, because 201022222121001 - 21 = 201022222120999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201022222121051) 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 63 ways as a sum of consecutive naturals, for example, 25193631 + ... + 32198811.

It is an arithmetic number, because the mean of its divisors is an integer number (4983836733900).

Almost surely, 2201022222121001 is an apocalyptic number.

It is an amenable number.

201022222121001 is a deficient number, since it is larger than the sum of its proper divisors (117943328848599).

201022222121001 is a wasteful number, since it uses less digits than its factorization.

201022222121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005927 (or 7005921 counting only the distinct ones).

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

Adding to 201022222121001 its reverse (100121222220102), we get a palindrome (301143444341103).

The spelling of 201022222121001 in words is "two hundred one trillion, twenty-two billion, two hundred twenty-two million, one hundred twenty-one thousand, one".

Divisors: 1 3 9 17 27 51 101 153 303 459 619 909 1717 1857 2727 5151 5571 10523 15453 16713 31569 46359 62519 94707 187557 284121 562671 1062823 1688013 3188469 7005181 9565407 21015543 28696221 63046629 119088077 189139887 357264231 707523281 1071792693 2122569843 3215378079 4336207039 6367709529 12027895777 13008621117 19103128587 36083687331 39025863351 73715519663 108251061993 117077590053 221146558989 324753185979 437956910939 663439676967 1313870732817 1990319030901 3941612198451 7445267485963 11824836595353 22335802457889 67007407373667 201022222121001