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101021002222221 = 3429358991197971
BaseRepresentation
bin10110111110000011001000…
…111100111100101010001101
3111020200111212100010101110000
4112332003020330330222031
5101220112003032102341
6554504224023434513
730164345415632664
oct2676031074745215
9436614770111400
10101021002222221
112a208848162514
12b3b66692b5a39
13444a316623bc3
141ad362a6a9ddb
15ba2bc4c718b6
hex5be0c8f3ca8d

101021002222221 has 40 divisors (see below), whose sum is σ = 156116117124000. Its totient is φ = 65023147314720.

The previous prime is 101021002222213. The next prime is 101021002222237. The reversal of 101021002222221 is 122222200120101.

It is a happy number.

101021002222221 is a `hidden beast` number, since 1 + 0 + 10 + 210 + 0 + 2 + 222 + 221 = 666.

It is not a de Polignac number, because 101021002222221 - 23 = 101021002222213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101021002222194 and 101021002222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021002220221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83727766 + ... + 84925736.

It is an arithmetic number, because the mean of its divisors is an integer number (3902902928100).

Almost surely, 2101021002222221 is an apocalyptic number.

It is an amenable number.

101021002222221 is a deficient number, since it is larger than the sum of its proper divisors (55095114901779).

101021002222221 is a wasteful number, since it uses less digits than its factorization.

101021002222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233911 (or 1233902 counting only the distinct ones).

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

Adding to 101021002222221 its reverse (122222200120101), we get a palindrome (223243202342322).

The spelling of 101021002222221 in words is "one hundred one trillion, twenty-one billion, two million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 35899 107697 323091 969273 1041071 1197971 2907819 3123213 3593913 9369639 10781739 28108917 32345217 34741159 84326751 97035651 104223477 312670431 938011293 2814033879 43005960929 129017882787 387053648361 1161160945083 1247172866941 3483482835249 3741518600823 11224555802469 33673667407407 101021002222221