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12101021121020 = 22513291757991297
BaseRepresentation
bin1011000000010111110100…
…0100001011100111111100
31120211211211222010202202012
42300011331010023213330
53041230342401333040
641423044331150352
72356161404250146
oct260057504134774
946754758122665
1012101021121020
113946017a4a277
1214353135a53b8
1369a176922c40
142db99a4c7c96
1515eb96b0e865
hexb017d10b9fc

12101021121020 has 96 divisors (see below), whose sum is σ = 28312532337600. Its totient is φ = 4313705324544.

The previous prime is 12101021121017. The next prime is 12101021121029. The reversal of 12101021121020 is 2012112010121.

12101021121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12101021120986 and 12101021121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101021121029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132500012 + ... + 132591308.

It is an arithmetic number, because the mean of its divisors is an integer number (294922211850).

Almost surely, 212101021121020 is an apocalyptic number.

12101021121020 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 12101021121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156266168800).

12101021121020 is an abundant number, since it is smaller than the sum of its proper divisors (16211511216580).

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

12101021121020 is a wasteful number, since it uses less digits than its factorization.

12101021121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108927 (or 108925 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12101021121020 its reverse (2012112010121), we get a palindrome (14113133131141).

The spelling of 12101021121020 in words is "twelve trillion, one hundred one billion, twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 17579 35158 70316 87895 91297 175790 182594 228527 351580 365188 456485 457054 509791 912970 914108 1019582 1142635 1186861 1825940 2039164 2285270 2373722 2548955 2647613 4570540 4747444 5097910 5295226 5934305 6627283 10195820 10590452 11868610 13238065 13254566 23737220 26476130 26509132 33136415 34418969 52952260 66272830 68837938 132545660 137675876 172094845 344189690 688379380 1604909963 3209819926 6419639852 8024549815 16049099630 20863829519 32098199260 41727659038 46542388927 83455318076 93084777854 104319147595 186169555708 208638295190 232711944635 417276590380 465423889270 605051056051 930847778540 1210102112102 2420204224204 3025255280255 6050510560510 12101021121020