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100122101202120 = 233510872161355193
BaseRepresentation
bin10110110000111101111110…
…010001101011110011001000
3111010111120122101021021012220
4112300331332101223303020
5101110400030401431440
6552535242555134040
730042404001216324
oct2660757621536310
9433446571237186
10100122101202120
11299a15a9a50578
12b290401144320
1343b362074c37a
141aa1d15238984
15b89613e788d0
hex5b0f7e46bcc8

100122101202120 has 128 divisors (see below), whose sum is σ = 300782598359040. Its totient is φ = 26662245949440.

The previous prime is 100122101202119. The next prime is 100122101202187. The reversal of 100122101202120 is 21202101221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122101202120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281703244 + ... + 282058436.

It is an arithmetic number, because the mean of its divisors is an integer number (2349864049680).

Almost surely, 2100122101202120 is an apocalyptic number.

100122101202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122101202120 is an abundant number, since it is smaller than the sum of its proper divisors (200660497156920).

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

100122101202120 is a wasteful number, since it uses less digits than its factorization.

100122101202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358455 (or 358451 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122101202120 its reverse (21202101221001), we get a palindrome (121324202423121).

The spelling of 100122101202120 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1087 2161 2174 3261 4322 4348 5435 6483 6522 8644 8696 10805 10870 12966 13044 16305 17288 21610 21740 25932 26088 32415 32610 43220 43480 51864 64830 65220 86440 129660 130440 259320 355193 710386 1065579 1420772 1775965 2131158 2349007 2841544 3551930 4262316 4698014 5327895 7047021 7103860 8524632 9396028 10655790 11745035 14094042 14207720 18792056 21311580 23490070 28188084 35235105 42623160 46980140 56376168 70470210 93960280 140940420 281880840 386094791 767572073 772189582 1158284373 1535144146 1544379164 1930473955 2302716219 2316568746 3070288292 3088758328 3837860365 3860947910 4605432438 4633137492 5791421865 6140576584 7675720730 7721895820 9210864876 9266274984 11513581095 11582843730 15351441460 15443791640 18421729752 23027162190 23165687460 30702882920 46054324380 46331374920 92108648760 834350843351 1668701686702 2503052530053 3337403373404 4171754216755 5006105060106 6674806746808 8343508433510 10012210120212 12515262650265 16687016867020 20024420240424 25030525300530 33374033734040 50061050601060 100122101202120