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10221012020120 = 23511213116120453
BaseRepresentation
bin1001010010111100001111…
…0010100110101110011000
31100012010012220100011012012
42110233003302212232120
52314430113034120440
633423245035405052
72103305130461216
oct224570362465630
940163186304165
1010221012020120
113290785907a00
121190a982b3788
13591ab670a6a5
142749b1a91cb6
1512ad12ddae65
hex94bc3ca6b98

10221012020120 has 96 divisors (see below), whose sum is σ = 25470962138160. Its totient is φ = 3688359417600.

The previous prime is 10221012020119. The next prime is 10221012020171. The reversal of 10221012020120 is 2102021012201.

10221012020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102210120201203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221012020095 and 10221012020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7426187 + ... + 8694266.

Almost surely, 210221012020120 is an apocalyptic number.

10221012020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221012020120 is an abundant number, since it is smaller than the sum of its proper divisors (15249950118040).

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

10221012020120 is a wasteful number, since it uses less digits than its factorization.

10221012020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16120617 (or 16120602 counting only the distinct ones).

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

Adding to 10221012020120 its reverse (2102021012201), we get a palindrome (12323033032321).

The spelling of 10221012020120 in words is "ten trillion, two hundred twenty-one billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 131 220 242 262 440 484 524 605 655 968 1048 1210 1310 1441 2420 2620 2882 4840 5240 5764 7205 11528 14410 15851 28820 31702 57640 63404 79255 126808 158510 317020 634040 16120453 32240906 64481812 80602265 128963624 161204530 177324983 322409060 354649966 644818120 709299932 886624915 1418599864 1773249830 1950574813 2111779343 3546499660 3901149626 4223558686 7092999320 7802299252 8447117372 9752874065 10558896715 15604598504 16894234744 19505748130 21117793430 23229572773 39011496260 42235586860 46459145546 78022992520 84471173720 92918291092 116147863865 185836582184 232295727730 255525300503 464591455460 511050601006 929182910920 1022101202012 1277626502515 2044202404024 2555253005030 5110506010060 10221012020120