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12210100210100 = 2252139392384777
BaseRepresentation
bin1011000110101110001010…
…1011111000100110110100
31121020021101212200121211102
42301223202223320212310
53100022241123210400
641545124222425232
72400102444230132
oct261534253704664
947207355617742
1012210100210100
113988302285381
121452495a32218
136a753b3b4530
14302d8726a752
1516292ce499d5
hexb1ae2af89b4

12210100210100 has 36 divisors (see below), whose sum is σ = 28534064955564. Its totient is φ = 4508344692480.

The previous prime is 12210100210079. The next prime is 12210100210103. The reversal of 12210100210100 is 101200101221.

It can be written as a sum of positive squares in 6 ways, for example, as 1923314090896 + 10286786119204 = 1386836^2 + 3207302^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210100210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4696191089 + ... + 4696193688.

Almost surely, 212210100210100 is an apocalyptic number.

12210100210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210100210100 is an abundant number, since it is smaller than the sum of its proper divisors (16323964745464).

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

12210100210100 is a wasteful number, since it uses less digits than its factorization.

12210100210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392384804 (or 9392384797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12210100210100 its reverse (101200101221), we get a palindrome (12311300311321).

The spelling of 12210100210100 in words is "twelve trillion, two hundred ten billion, one hundred million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9392384777 18784769554 37569539108 46961923885 93923847770 122101002101 187847695540 234809619425 244202004202 469619238850 488404008404 610505010505 939238477700 1221010021010 2442020042020 3052525052525 6105050105050 12210100210100