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101210221121120 = 25529318891142891
BaseRepresentation
bin10111000000110011010111…
…010001110000111001100000
3111021100121021022212101112122
4113000303113101300321200
5101231212013101333440
6555131200025243412
730214124426013236
oct2700632721607140
9437317238771478
10101210221121120
112a281017306901
12b427276333568
13446211018bbc7
141adc85a9bc956
15ba7a9b9957b5
hex5c0cd7470e60

101210221121120 has 96 divisors (see below), whose sum is σ = 240052441376160. Its totient is φ = 40324523868160.

The previous prime is 101210221121039. The next prime is 101210221121129. The reversal of 101210221121120 is 21121122012101.

Adding to 101210221121120 its reverse (21121122012101), we get a palindrome (122331343133221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210221121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87984875 + ... + 89127765.

It is an arithmetic number, because the mean of its divisors is an integer number (2500546264335).

Almost surely, 2101210221121120 is an apocalyptic number.

101210221121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210221121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120026220688080).

101210221121120 is an abundant number, since it is smaller than the sum of its proper divisors (138842220255040).

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

101210221121120 is a wasteful number, since it uses less digits than its factorization.

101210221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145088 (or 1145080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

The spelling of 101210221121120 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 1172 1465 1889 2344 2930 3778 4688 5860 7556 9376 9445 11720 15112 18890 23440 30224 37780 46880 60448 75560 151120 302240 553477 1106954 1142891 2213908 2285782 2767385 4427816 4571564 5534770 5714455 8855632 9143128 11069540 11428910 17711264 18286256 22139080 22857820 36572512 44278160 45715640 88556320 91431280 182862560 334867063 669734126 1339468252 1674335315 2158921099 2678936504 3348670630 4317842198 5357873008 6697341260 8635684396 10715746016 10794605495 13394682520 17271368792 21589210990 26789365040 34542737584 43178421980 53578730080 69085475168 86356843960 172713687920 345427375840 632563882007 1265127764014 2530255528028 3162819410035 5060511056056 6325638820070 10121022112112 12651277640140 20242044224224 25302555280280 50605110560560 101210221121120