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100212201102020 = 22576766116162789
BaseRepresentation
bin10110110010010001111000…
…101001100001101011000100
3111010211012012121010102020112
4112302101320221201223010
5101113334041440231040
6553044503304452152
730052043522560250
oct2662217051415304
9433735177112215
10100212201102020
1129a26834aa4967
12b2a596747a058
1343bbc7c17b6c7
141aa64214dd260
15b8bb38e8a365
hex5b2478a61ac4

100212201102020 has 96 divisors (see below), whose sum is σ = 244468275959040. Its totient is φ = 33794450173440.

The previous prime is 100212201101939. The next prime is 100212201102047. The reversal of 100212201102020 is 20201102212001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100212201101986 and 100212201102004.

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, 1881215 + ... + 14281574.

It is an arithmetic number, because the mean of its divisors is an integer number (2546544541240).

Almost surely, 2100212201102020 is an apocalyptic number.

100212201102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212201102020 is an abundant number, since it is smaller than the sum of its proper divisors (144256074857020).

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

100212201102020 is a wasteful number, since it uses less digits than its factorization.

100212201102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16163533 (or 16163531 counting only the distinct ones).

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

Adding to 100212201102020 its reverse (20201102212001), we get a palindrome (120413303314021).

The spelling of 100212201102020 in words is "one hundred trillion, two hundred twelve billion, two hundred one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 661 670 938 1322 1340 1876 2345 2644 3305 4627 4690 6610 9254 9380 13220 18508 23135 44287 46270 88574 92540 177148 221435 310009 442870 620018 885740 1240036 1550045 3100090 6200180 16162789 32325578 64651156 80813945 113139523 161627890 226279046 323255780 452558092 565697615 1082906863 1131395230 2165813726 2262790460 4331627452 5414534315 7580348041 10683603529 10829068630 15160696082 21367207058 21658137260 30321392164 37901740205 42734414116 53418017645 74785224703 75803480410 106836035290 149570449406 151606960820 213672070580 299140898812 373926123515 715801436443 747852247030 1431602872886 1495704494060 2863205745772 3579007182215 5010610055101 7158014364430 10021220110202 14316028728860 20042440220404 25053050275505 50106100551010 100212201102020