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100011221121102 = 231937127731195953
BaseRepresentation
bin10110101111010110101101…
…010011101111100001001110
3111010002222102221211112122120
4112233112231103233201032
5101102040440101333402
6552412304250153410
730031400202121104
oct2657265523574116
9433088387745576
10100011221121102
1129959580043585
12b272a17722866
1343a602cb11385
141a9a7d7201c74
15b867c498b3bc
hex5af5ad4ef84e

100011221121102 has 128 divisors (see below), whose sum is σ = 216515561932800. Its totient is φ = 30689846009856.

The previous prime is 100011221121067. The next prime is 100011221121107. The reversal of 100011221121102 is 201121122110001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011221121107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16800134958 + ... + 16800140910.

It is an arithmetic number, because the mean of its divisors is an integer number (1691527827600).

Almost surely, 2100011221121102 is an apocalyptic number.

100011221121102 is an abundant number, since it is smaller than the sum of its proper divisors (116504340811698).

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

100011221121102 is a wasteful number, since it uses less digits than its factorization.

100011221121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10410.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100011221121102 its reverse (201121122110001), we get a palindrome (301132343231103).

The spelling of 100011221121102 in words is "one hundred trillion, eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 222 703 1277 1406 2109 2554 3119 3831 4218 5953 6238 7662 9357 11906 17859 18714 24263 35718 47249 48526 59261 72789 94498 113107 115403 118522 141747 145578 177783 220261 226214 230806 283494 339321 346209 355566 440522 660783 678642 692418 897731 1321566 1795462 2192657 2693193 3982963 4184959 4385314 5386386 6577971 7601981 7965926 8369918 11948889 12554877 13155942 15203962 18567407 22805943 23897778 25109754 37134814 45611886 55702221 75676297 111404442 144437639 147369631 151352594 227028891 281273297 288875278 294739262 352780733 433312917 442108893 454057782 562546594 686994059 705561466 843819891 866625834 884217786 1058342199 1373988118 1687639782 2060982177 2116684398 2800022989 4121964354 5344192643 5600045978 8400068967 10688385286 13052887121 16032577929 16800137934 23710578739 26105774242 32065155858 39158661363 47421157478 71131736217 78317322726 142263472434 450500996041 877291413343 901001992082 1351502988123 1754582826686 2631874240029 2703005976246 5263748480058 16668536853517 33337073707034 50005610560551 100011221121102