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12201202102100 = 22521131135665601
BaseRepresentation
bin1011000110001101000001…
…0100010010111101010100
31121012102102202022220100212
42301203100110102331110
53044401030214231400
641541053241224552
72366336106451244
oct261432024227524
947172382286325
1012201202102100
113984556558110
121450811a92158
136a6750a8ac7b
143027815b9b24
151625abb98335
hexb18d0512f54

12201202102100 has 72 divisors (see below), whose sum is σ = 28976447013696. Its totient is φ = 4422534400000.

The previous prime is 12201202102027. The next prime is 12201202102123. The reversal of 12201202102100 is 120120210221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17490701 + ... + 18174900.

It is an arithmetic number, because the mean of its divisors is an integer number (402450652968).

Almost surely, 212201202102100 is an apocalyptic number.

12201202102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201202102100 is an abundant number, since it is smaller than the sum of its proper divisors (16775244911596).

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

12201202102100 is a wasteful number, since it uses less digits than its factorization.

12201202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35665937 (or 35665930 counting only the distinct ones).

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

Adding to 12201202102100 its reverse (120120210221), we get a palindrome (12321322312321).

The spelling of 12201202102100 in words is "twelve trillion, two hundred one billion, two hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 311 550 622 1100 1244 1555 3110 3421 6220 6842 7775 13684 15550 17105 31100 34210 68420 85525 171050 342100 35665601 71331202 142662404 178328005 356656010 392321611 713312020 784643222 891640025 1569286444 1783280050 1961608055 3566560100 3923216110 7846432220 9808040275 11092001911 19616080550 22184003822 39232161100 44368007644 55460009555 110920019110 122012021021 221840038220 244024042042 277300047775 488048084084 554600095550 610060105105 1109200191100 1220120210210 2440240420420 3050300525525 6100601051050 12201202102100