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100122100110010 = 2511329953272183
BaseRepresentation
bin10110110000111101111110…
…001101100001001010111010
3111010111120122022012210010101
4112300331332031201022322
5101110400030112010020
6552535242515510014
730042403656020326
oct2660757615411272
9433446568183111
10100122100110010
11299a15a9375000
12b2904008b830a
1343b3620459254
141aa1d15032986
15b89613d1000a
hex5b0f7e3612ba

100122100110010 has 128 divisors (see below), whose sum is σ = 205279605020160. Its totient is φ = 35115571617280.

The previous prime is 100122100109989. The next prime is 100122100110029. The reversal of 100122100110010 is 10011001221001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367712379 + ... + 367984561.

It is an arithmetic number, because the mean of its divisors is an integer number (1603746914220).

Almost surely, 2100122100110010 is an apocalyptic number.

100122100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122100110010 is an abundant number, since it is smaller than the sum of its proper divisors (105157504910150).

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

100122100110010 is a wasteful number, since it uses less digits than its factorization.

100122100110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273205 (or 273183 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100122100110010 its reverse (10011001221001), we get a palindrome (110133101331011).

The spelling of 100122100110010 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, one hundred ten thousand, ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 121 145 242 290 319 605 638 953 1210 1331 1595 1906 2662 3190 3509 4765 6655 7018 9530 10483 13310 17545 20966 27637 35090 38599 52415 55274 77198 104830 115313 138185 192995 230626 272183 276370 304007 385990 544366 576565 608014 1153130 1268443 1360915 1520035 2536886 2721830 2994013 3040070 3344077 5988026 6342215 6688154 7893307 12684430 14970065 15786614 16720385 29940130 32934143 33440770 36784847 39466535 65868286 73569694 78933070 86826377 164670715 173652754 183924235 259390399 329341430 362275573 367848470 434131885 518780798 724551146 868263770 955090147 1296951995 1811377865 1910180294 2593903990 2853294389 3622755730 4775450735 5706588778 7522321571 9550901470 10505991617 14266471945 15044643142 21011983234 28532943890 31386238279 37611607855 52529958085 62772476558 75223215710 82745537281 105059916170 156931191395 165491074562 313862382790 345248621069 413727686405 690497242138 827455372810 910200910091 1726243105345 1820401820182 3452486210690 4551004550455 9102009100910 10012210011001 20024420022002 50061050055005 100122100110010