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221010002102201 = 13217791210780429
BaseRepresentation
bin110010010000000111100110…
…101010101100011110111001
31001222112100110001020102111212
4302100013212222230132321
5212432011441014232301
62102014332053532505
764360305611504324
oct6220074652543671
91058470401212455
10221010002102201
11644698a7516744
1220955276644135
1396421ccab3700
143c80d268377bb
151a83e9d8124bb
hexc901e6aac7b9

221010002102201 has 48 divisors (see below), whose sum is σ = 256628013868800. Its totient is φ = 189560184413184.

The previous prime is 221010002102177. The next prime is 221010002102231. The reversal of 221010002102201 is 102201200010122.

221010002102201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-221010002102201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221010002102231) 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, 2747849255 + ... + 2747929683.

It is an arithmetic number, because the mean of its divisors is an integer number (5346416955600).

Almost surely, 2221010002102201 is an apocalyptic number.

It is an amenable number.

221010002102201 is a deficient number, since it is larger than the sum of its proper divisors (35618011766599).

221010002102201 is a wasteful number, since it uses less digits than its factorization.

221010002102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92658 (or 92645 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221010002102201 its reverse (102201200010122), we get a palindrome (323211202112323).

The spelling of 221010002102201 in words is "two hundred twenty-one trillion, ten billion, two million, one hundred two thousand, two hundred one".

Divisors: 1 13 17 79 169 221 1027 1343 2873 12107 13351 17459 80429 157391 205819 226967 956453 1045577 1367293 2046083 2675647 6353891 12433889 13592501 16259701 17774809 34783411 82600583 108016147 161640557 211376113 231072517 973753903 1073807579 1404209911 2747889469 12658800739 16553816351 18254728843 76926558337 164564409607 215199612563 1000045258381 1307751491729 2797594963319 13000588358953 17000769392477 221010002102201