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100221010010 = 25112174919923
BaseRepresentation
bin101110101010110100…
…0110100000001011010
3100120200120111210222122
41131111220310001122
53120223034310020
6114012500021242
710145366346362
oct1352550640132
9316616453878
10100221010010
113955a169200
121750b991822
1395b2541ab4
144bca5519a2
152918844125
hex1755a3405a

100221010010 has 96 divisors (see below), whose sum is σ = 210401343936. Its totient is φ = 34226931200.

The previous prime is 100221009983. The next prime is 100221010031. The reversal of 100221010010 is 10010122001.

It is a self number, because there is not a number n which added to its sum of digits gives 100221010010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10094909 + ... + 10104831.

It is an arithmetic number, because the mean of its divisors is an integer number (2191680666).

Almost surely, 2100221010010 is an apocalyptic number.

100221010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221010010 is an abundant number, since it is smaller than the sum of its proper divisors (110180333926).

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

100221010010 is a wasteful number, since it uses less digits than its factorization.

100221010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100221010010 its reverse (10010122001), we get a palindrome (110231132011).

It can be divided in two parts, 1002 and 21010010, that added together give a palindrome (21011012).

The spelling of 100221010010 in words is "one hundred billion, two hundred twenty-one million, ten thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 491 605 935 982 1210 1870 2057 2455 4114 4910 5401 8347 9923 10285 10802 16694 19846 20570 27005 41735 49615 54010 59411 83470 91817 99230 109153 118822 168691 183634 218306 297055 337382 459085 545765 594110 843455 918170 1009987 1091530 1200683 1686910 1855601 2019974 2401366 3711202 4872193 5049935 6003415 9278005 9744386 10099870 12006830 18556010 20411611 24360965 40823222 48721930 53594123 82827281 102058055 107188246 165654562 204116110 267970615 414136405 535941230 589535353 828272810 911100091 1179070706 1822200182 2947676765 4555500455 5895353530 9111000910 10022101001 20044202002 50110505005 100221010010