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221201101220121 = 34111076193748307
BaseRepresentation
bin110010010010111001100101…
…000011111110100100011001
31002000012121201001221110020000
4302102321211003332210121
5212443124323403020441
62102242214423123213
764410152332266651
oct6222714503764431
91060177631843200
10221201101220121
1164532950a35450
12209863092a3509
139657236047749
143c8a294745361
151a88e356382b6
hexc92e650fe919

221201101220121 has 80 divisors (see below), whose sum is σ = 364432693743360. Its totient is φ = 132593775901920.

The previous prime is 221201101220117. The next prime is 221201101220123. The reversal of 221201101220121 is 121022101102122.

221201101220121 is a `hidden beast` number, since 2 + 21 + 201 + 101 + 220 + 121 = 666.

221201101220121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221201101220121 - 22 = 221201101220117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221201101220094 and 221201101220103.

It is not an unprimeable number, because it can be changed into a prime (221201101220123) 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, 57139450 + ... + 60887756.

It is an arithmetic number, because the mean of its divisors is an integer number (4555408671792).

Almost surely, 2221201101220121 is an apocalyptic number.

It is an amenable number.

221201101220121 is a deficient number, since it is larger than the sum of its proper divisors (143231592523239).

221201101220121 is a wasteful number, since it uses less digits than its factorization.

221201101220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749056 (or 3749047 counting only the distinct ones).

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

Adding to 221201101220121 its reverse (121022101102122), we get a palindrome (342223202322243).

The spelling of 221201101220121 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 107 297 321 619 891 963 1177 1857 2889 3531 5571 6809 8667 10593 16713 20427 31779 50139 61281 66233 95337 183843 198699 551529 596097 728563 1788291 2185689 3748307 5364873 6557067 11244921 19671201 33734763 41231377 59013603 101204289 123694131 303612867 371082393 401068849 1113247179 1203206547 2320202033 3339741537 3609619641 4411757339 6960606099 10828858923 13235272017 20881818297 25522222363 32486576769 39705816051 62645454891 76566667089 119117448153 187936364673 229700001267 248261617531 357352344459 689100003801 744784852593 2067300011403 2234354557779 2730877792841 6703063673337 8192633378523 20109191020011 24577900135569 73733700406707 221201101220121