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2221220210121 = 3211291977695107
BaseRepresentation
bin100000010100101011000…
…010101010010111001001
321212100100122200220022200
4200110223002222113021
5242343024333210441
64420225305510413
7316322623156623
oct40245302522711
97770318626280
102221220210121
117870179a0a20
122ba5a21a2409
131315c9caa5a3
1479716d27c13
153cba439b7b6
hex2052b0aa5c9

2221220210121 has 96 divisors (see below), whose sum is σ = 3644623382400. Its totient is φ = 1291241226240.

The previous prime is 2221220210059. The next prime is 2221220210189. The reversal of 2221220210121 is 1210120221222.

It is a happy number.

2221220210121 is a `hidden beast` number, since 2 + 221 + 220 + 210 + 12 + 1 = 666.

It is not a de Polignac number, because 2221220210121 - 29 = 2221220209609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221220210094 and 2221220210103.

It is not an unprimeable number, because it can be changed into a prime (2221220210191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434933850 + ... + 434938956.

It is an arithmetic number, because the mean of its divisors is an integer number (37964826900).

Almost surely, 22221220210121 is an apocalyptic number.

It is an amenable number.

2221220210121 is a deficient number, since it is larger than the sum of its proper divisors (1423403172279).

2221220210121 is a wasteful number, since it uses less digits than its factorization.

2221220210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6116 counting only the distinct ones).

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

Adding to 2221220210121 its reverse (1210120221222), we get a palindrome (3431340431343).

The spelling of 2221220210121 in words is "two trillion, two hundred twenty-one billion, two hundred twenty million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 11 29 33 87 99 197 261 319 591 769 957 1773 2167 2307 2871 5107 5713 6501 6921 8459 15321 17139 19503 22301 25377 45963 51417 56177 62843 66903 76131 148103 151493 168531 188529 200709 245311 444309 454479 505593 565587 735933 1006079 1332927 1363437 1629133 1666423 2207799 3018237 3927283 4393297 4887399 4999269 9054711 11066869 11781849 13179891 14662197 14997807 29176291 33200607 35345547 39539673 43200113 48326267 87528873 99601821 113891207 129600339 144978801 262586619 320939201 341673621 388801017 434936403 773674751 962817603 1025020863 1252803277 2321024253 2888452809 3758409831 6963072759 8510422261 11275229493 22436567779 25531266783 67309703337 76593800349 201929110011 246802245569 740406736707 2221220210121