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100121222122012 = 227213176734498721
BaseRepresentation
bin10110110000111101001001…
…111000010000101000011100
3111010111111101010010101000101
4112300331021320100220130
5101110341230330401022
6552535015433310444
730042343135160500
oct2660751170205034
9433444333111011
10100121222122012
11299a1198807693
12b2901b6865424
1343b351059ba20
141aa1c705a6300
15b895b1bd0627
hex5b0f49e10a1c

100121222122012 has 144 divisors (see below), whose sum is σ = 235876869976608. Its totient is φ = 36722093506560.

The previous prime is 100121222121967. The next prime is 100121222122039. The reversal of 100121222122012 is 210221222121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14347189 + ... + 20151532.

It is an arithmetic number, because the mean of its divisors is an integer number (1638033819282).

Almost surely, 2100121222122012 is an apocalyptic number.

It is an amenable number.

100121222122012 is an abundant number, since it is smaller than the sum of its proper divisors (135755647854596).

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

100121222122012 is a wasteful number, since it uses less digits than its factorization.

100121222122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34498836 (or 34498827 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100121222122012 its reverse (210221222121001), we get a palindrome (310342444243013).

The spelling of 100121222122012 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 67 68 91 98 119 134 182 196 221 238 268 364 442 469 476 637 833 871 884 938 1139 1274 1547 1666 1742 1876 2278 2548 3094 3283 3332 3484 4556 6097 6188 6566 7973 10829 12194 13132 14807 15946 21658 24388 29614 31892 42679 43316 55811 59228 85358 103649 111622 170716 207298 223244 414596 725543 1451086 2902172 34498721 68997442 137994884 241491047 448483373 482982094 586478257 896966746 965964188 1172956514 1690437329 1793933492 2311414307 2345913028 3139383611 3380874658 4105347799 4622828614 6278767222 6761749316 7624217341 8210695598 9245657228 12557534444 15248434682 16179900149 16421391196 21975685277 28737434593 30048385991 30496869364 32359800298 39294043219 43951370554 53369521387 57474869186 60096771982 64719600596 78588086438 87902741108 106739042774 113259301043 114949738372 120193543964 157176172876 210338701937 213478085548 226518602086 275058302533 373586649709 420677403874 453037204172 510822561847 550116605066 747173299418 841354807748 1021645123694 1100233210132 1472370913559 1494346598836 1925408117731 2043290247388 2944741827118 3575757932929 3850816235462 5889483654236 7151515865858 7701632470924 14303031731716 25030305530503 50060611061006 100121222122012