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12221012010100 = 22521013120641777
BaseRepresentation
bin1011000111010110110100…
…0101000110010001110100
31121021022120100011111102011
42301311231011012101310
53100212113033310400
641554131100254004
72400640033055125
oct261655505062164
947238510144364
1012221012010100
1139919a1751203
121454620241304
136a8589c6a31a
1430370053c04c
15162d6adb58ba
hexb1d6d146474

12221012010100 has 36 divisors (see below), whose sum is σ = 26545775547564. Its totient is φ = 4883579092480.

The previous prime is 12221012010091. The next prime is 12221012010149. The reversal of 12221012010100 is 101021012221.

It can be written as a sum of positive squares in 6 ways, for example, as 2178983395044 + 10042028615056 = 1476138^2 + 3168916^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60219589 + ... + 60422188.

It is an arithmetic number, because the mean of its divisors is an integer number (737382654099).

Almost surely, 212221012010100 is an apocalyptic number.

12221012010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221012010100 is an abundant number, since it is smaller than the sum of its proper divisors (14324763537464).

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

12221012010100 is a wasteful number, since it uses less digits than its factorization.

12221012010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120642804 (or 120642797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12221012010100 its reverse (101021012221), we get a palindrome (12322033022321).

The spelling of 12221012010100 in words is "twelve trillion, two hundred twenty-one billion, twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1013 2026 4052 5065 10130 20260 25325 50650 101300 120641777 241283554 482567108 603208885 1206417770 2412835540 3016044425 6032088850 12064177700 122210120101 244420240202 488840480404 611050600505 1222101201010 2444202402020 3055253002525 6110506005050 12221012010100