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10022221122100 = 22521110190209011
BaseRepresentation
bin1001000111010111101011…
…1011100000101000110100
31022111010002211012012210121
42101311322323200220310
52303201002101401400
633152051140501324
72053036660641655
oct221657273405064
938433084165717
1010022221122100
1132144445a9a40
12115a4596aa844
13579125a4b895
142691143cd52c
15125a7ab9e21a
hex91d7aee0a34

10022221122100 has 72 divisors (see below), whose sum is σ = 23960235259296. Its totient is φ = 3608360400000.

The previous prime is 10022221122079. The next prime is 10022221122127. The reversal of 10022221122100 is 122112222001.

It is a happy number.

10022221122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44993406 + ... + 45215605.

It is an arithmetic number, because the mean of its divisors is an integer number (332781045268).

Almost surely, 210022221122100 is an apocalyptic number.

10022221122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022221122100 is an abundant number, since it is smaller than the sum of its proper divisors (13938014137196).

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

10022221122100 is a wasteful number, since it uses less digits than its factorization.

10022221122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90209137 (or 90209130 counting only the distinct ones).

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

Adding to 10022221122100 its reverse (122112222001), we get a palindrome (10144333344101).

The spelling of 10022221122100 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-two 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 90209011 180418022 360836044 451045055 902090110 992299121 1804180220 1984598242 2255225275 3969196484 4510450550 4961495605 9020901100 9111110111 9922991210 18222220222 19845982420 24807478025 36444440444 45555550555 49614956050 91111101110 99229912100 100222211221 182222202220 200444422442 227777752775 400888844884 455555505550 501111056105 911111011100 1002222112210 2004444224420 2505555280525 5011110561050 10022221122100