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100212201210200 = 23526131424357389
BaseRepresentation
bin10110110010010001111000…
…101001111100000101011000
3111010211012012121022220122012
4112302101320221330011120
5101113334042002211300
6553044503311045052
730052043523520532
oct2662217051740530
9433735177286565
10100212201210200
1129a26835069172
12b2a5967510788
1343bbc7c1b8a11
141aa642152a852
15b8bb38eac435
hex5b2478a7c158

100212201210200 has 96 divisors (see below), whose sum is σ = 233393906811600. Its totient is φ = 40015982108160.

The previous prime is 100212201210113. The next prime is 100212201210211. The reversal of 100212201210200 is 2012102212001.

It is a super-2 number, since 2×1002122012102002 (a number of 29 digits) contains 22 as substring.

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, 1746163106 + ... + 1746220494.

Almost surely, 2100212201210200 is an apocalyptic number.

100212201210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212201210200 is an abundant number, since it is smaller than the sum of its proper divisors (133181705601400).

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

100212201210200 is a wasteful number, since it uses less digits than its factorization.

100212201210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72261 (or 72252 counting only the distinct ones).

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

Adding to 100212201210200 its reverse (2012102212001), we get a palindrome (102224303422201).

The spelling of 100212201210200 in words is "one hundred trillion, two hundred twelve billion, two hundred one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 613 1226 2452 3065 4904 6130 12260 14243 15325 24520 28486 30650 56972 57389 61300 71215 113944 114778 122600 142430 229556 284860 286945 356075 459112 569720 573890 712150 1147780 1424300 1434725 2295560 2848600 2869450 5738900 8730959 11477800 17461918 34923836 35179457 43654795 69847672 70358914 87309590 140717828 174619180 175897285 218273975 281435656 349238360 351794570 436547950 703589140 817391527 873095900 879486425 1407178280 1634783054 1746191800 1758972850 3269566108 3517945700 4086957635 6539132216 7035891400 8173915270 16347830540 20434788175 32695661080 40869576350 81739152700 163478305400 501061006051 1002122012102 2004244024204 2505305030255 4008488048408 5010610060510 10021220121020 12526525151275 20042440242040 25053050302550 50106100605100 100212201210200