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201022221200121 = 324143109116231207
BaseRepresentation
bin101101101101010000100010…
…000101100010101011111001
3222100202112111020011102001100
4231231100202011202223321
5202322022002111400441
61551312200013242013
760225243016204536
oct5555204205425371
9870675436142040
10201022221200121
1159063055257842
121a667553193309
138822411177439
14378d75534bd8d
1518390b1579cb6
hexb6d422162af9

201022221200121 has 48 divisors (see below), whose sum is σ = 307157239509120. Its totient is φ = 126533940099840.

The previous prime is 201022221200107. The next prime is 201022221200167. The reversal of 201022221200121 is 121002122220102.

It is a happy number.

201022221200121 is a `hidden beast` number, since 20 + 102 + 2 + 221 + 200 + 121 = 666.

It is not a de Polignac number, because 201022221200121 - 25 = 201022221200089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201022221200094 and 201022221200103.

It is not an unprimeable number, because it can be changed into a prime (201022221200191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56386101 + ... + 59845106.

It is an arithmetic number, because the mean of its divisors is an integer number (6399109156440).

Almost surely, 2201022221200121 is an apocalyptic number.

It is an amenable number.

201022221200121 is a deficient number, since it is larger than the sum of its proper divisors (106135018308999).

201022221200121 is a wasteful number, since it uses less digits than its factorization.

201022221200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116231406 (or 116231403 counting only the distinct ones).

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

Adding to 201022221200121 its reverse (121002122220102), we get a palindrome (322024343420223).

The spelling of 201022221200121 in words is "two hundred one trillion, twenty-two billion, two hundred twenty-one million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 41 43 109 123 129 327 369 387 981 1763 4469 4687 5289 13407 14061 15867 40221 42183 192167 576501 1729503 116231207 348693621 1046080863 4765479487 4997941901 12669201563 14296438461 14993825703 38007604689 42889315383 44981477109 114022814067 204915617941 519437264083 544775667209 614746853823 1558311792249 1634327001627 1844240561469 4674935376747 4902981004881 22335802355569 67007407066707 201022221200121