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2201221220121 = 3271110347964381
BaseRepresentation
bin100000000010000011000…
…000100100011100011001
321210102201220001221112100
4200002003000210130121
5242031100113020441
64403121014034013
7315014212440420
oct40020300443431
97712656057470
102201221220121
11779594aa1810
122b6740648909
1312c7608975b1
147877ac262b7
153c3d377ecb6
hex20083024719

2201221220121 has 96 divisors (see below), whose sum is σ = 4011008901120. Its totient is φ = 1130008060800.

The previous prime is 2201221220089. The next prime is 2201221220147. The reversal of 2201221220121 is 1210221221022.

It is a happy number.

2201221220121 is a `hidden beast` number, since 2 + 201 + 221 + 220 + 1 + 21 = 666.

It is not a de Polignac number, because 2201221220121 - 25 = 2201221220089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2201221220094 and 2201221220103.

It is not an unprimeable number, because it can be changed into a prime (2201221220161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34158351 + ... + 34222731.

It is an arithmetic number, because the mean of its divisors is an integer number (41781342720).

Almost surely, 22201221220121 is an apocalyptic number.

2201221220121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2201221220121 is a deficient number, since it is larger than the sum of its proper divisors (1809787680999).

2201221220121 is a wasteful number, since it uses less digits than its factorization.

2201221220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64987 (or 64984 counting only the distinct ones).

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

Adding to 2201221220121 its reverse (1210221221022), we get a palindrome (3411442441143).

Subtracting from 2201221220121 its reverse (1210221221022), we obtain a palindrome (990999999099).

The spelling of 2201221220121 in words is "two trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 103 231 309 479 693 721 927 1133 1437 2163 3353 3399 4311 5269 6489 7931 10059 10197 15807 23793 30177 36883 47421 49337 64381 71379 110649 148011 193143 331947 345359 444033 450667 542707 579429 708191 1036077 1352001 1628121 2124573 3108231 3798949 4056003 4884363 4957337 6373719 6631243 11396847 14872011 19893729 30838499 34190541 44616033 46418701 59681187 72943673 92515497 139256103 215869493 218831019 277546491 339223489 417768309 510605711 647608479 656493057 1017670467 1531817133 1942825437 2374564423 3053011401 3176365397 4595451399 7123693269 9529096191 21371079807 22234557779 28587288573 34940019367 66703673337 104820058101 200111020011 244580135569 314460174303 733740406707 2201221220121