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10221202201221 = 32112309267716703
BaseRepresentation
bin1001010010111100111100…
…1000000101101010000101
31100012010201011012100121200
42110233033020011222011
52314431010230414341
633423315551533113
72103312630132114
oct224571710055205
940163634170550
1010221202201221
1132908731a3870
121190b2bb2a199
13591b16c3769b
142749cd039c7b
1512ad24955db6
hex94bcf205a85

10221202201221 has 48 divisors (see below), whose sum is σ = 16120096312320. Its totient is φ = 6189301560960.

The previous prime is 10221202201103. The next prime is 10221202201247. The reversal of 10221202201221 is 12210220212201.

It is a happy number.

10221202201221 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 0 + 220 + 1 + 221 = 666.

It is not a de Polignac number, because 10221202201221 - 222 = 10221198006917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221202201194 and 10221202201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221202201421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611929756 + ... + 611946458.

It is an arithmetic number, because the mean of its divisors is an integer number (335835339840).

Almost surely, 210221202201221 is an apocalyptic number.

10221202201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221202201221 is a deficient number, since it is larger than the sum of its proper divisors (5898894111099).

10221202201221 is a wasteful number, since it uses less digits than its factorization.

10221202201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21706 (or 21703 counting only the distinct ones).

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

Adding to 10221202201221 its reverse (12210220212201), we get a palindrome (22431422413422).

The spelling of 10221202201221 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 2309 2677 6927 8031 16703 20781 24093 25399 29447 50109 76197 88341 150327 183733 228591 265023 551199 1653597 6181193 18543579 38567227 44713931 55630737 67993123 115701681 134141793 203979369 347105043 402425379 424239497 491853241 611938107 1272718491 1475559723 3818155473 4426679169 103244466679 309733400037 929200200111 1135689133469 3407067400407 10221202201221