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100212102122020 = 22574432368968209
BaseRepresentation
bin10110110010010001110010…
…101111111100101000100100
3111010211011221200212201012121
4112302101302233330220210
5101113333341120401040
6553044445411155324
730052041211343650
oct2662216257745044
9433734850781177
10100212102122020
1129a2679413a809
12b2a593a2a5b44
1343bbc64804265
141aa64122d5a60
15b8bb30437c4a
hex5b2472bfca24

100212102122020 has 96 divisors (see below), whose sum is σ = 241065664761600. Its totient is φ = 34278926782464.

The previous prime is 100212102122009. The next prime is 100212102122057. The reversal of 100212102122020 is 20221201212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100212102121985 and 100212102122003.

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, 1469157676 + ... + 1469225884.

It is an arithmetic number, because the mean of its divisors is an integer number (2511100674600).

Almost surely, 2100212102122020 is an apocalyptic number.

100212102122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212102122020 is an abundant number, since it is smaller than the sum of its proper divisors (140853562639580).

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

100212102122020 is a wasteful number, since it uses less digits than its factorization.

100212102122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92357 (or 92355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212102122020 its reverse (20221201212001), we get a palindrome (120433303334021).

The spelling of 100212102122020 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 443 886 1772 2215 3101 4430 6202 8860 12404 15505 23689 31010 47378 62020 68209 94756 118445 136418 165823 236890 272836 331646 341045 473780 477463 663292 682090 829115 954926 1364180 1658230 1909852 2387315 3316460 4774630 9549260 10494227 20988454 30216587 41976908 52471135 60433174 73459589 104942270 120866348 146919178 151082935 209884540 211516109 293838356 302165870 367297945 423032218 604331740 734595890 846064436 1057580545 1469191780 1615803001 2115161090 3231606002 4230322180 6463212004 8079015005 11310621007 16158030010 22621242014 32316060020 45242484028 56553105035 113106210070 226212420140 715800729443 1431601458886 2863202917772 3579003647215 5010605106101 7158007294430 10021210212202 14316014588860 20042420424404 25053025530505 50106051061010 100212102122020