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221010220212100 = 2252111011989290911
BaseRepresentation
bin110010010000000111110011…
…101010101101111110000100
31001222112101000020122120001021
4302100013303222231332010
5212432012412333241400
62102014405444440524
764360314200426254
oct6220076352557604
91058471006576037
10221010220212100
11644699a9648960
12209553176a9144
13964223603ba17
143c80d477b1964
151a83eb2a4771a
hexc901f3aadf84

221010220212100 has 72 divisors (see below), whose sum is σ = 528371580554496. Its totient is φ = 79571636400000.

The previous prime is 221010220212059. The next prime is 221010220212101. The reversal of 221010220212100 is 1212022010122.

It is a happy number.

221010220212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221010220212101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994534356 + ... + 994756555.

It is an arithmetic number, because the mean of its divisors is an integer number (7338494174368).

Almost surely, 2221010220212100 is an apocalyptic number.

221010220212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010220212100 is an abundant number, since it is smaller than the sum of its proper divisors (307361360342396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221010220212100 is a wasteful number, since it uses less digits than its factorization.

221010220212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989291037 (or 1989291030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221010220212100 its reverse (1212022010122), we get a palindrome (222222242222222).

The spelling of 221010220212100 in words is "two hundred twenty-one trillion, ten billion, two hundred twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 1989290911 3978581822 7957163644 9946454555 19892909110 21882200021 39785818220 43764400042 49732272775 87528800084 99464545550 109411000105 198929091100 200918382011 218822000210 401836764022 437644000420 547055000525 803673528044 1004591910055 1094110001050 2009183820110 2188220002100 2210102202121 4018367640220 4420204404242 5022959550275 8840408808484 10045919100550 11050511010605 20091838201100 22101022021210 44202044042420 55252555053025 110505110106050 221010220212100