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100110210121020 = 223511473227279501
BaseRepresentation
bin10110110000110010111001…
…100000110011110100111100
3111010110102221200002202111210
4112300302321200303310330
5101110201202242333040
6552525555020044420
730041503221542361
oct2660627140636474
9433412850082453
10100110210121020
1129997557822320
12b28a042993710
1343b2477031ac8
141aa1507c90468
15b8916a070480
hex5b0cb9833d3c

100110210121020 has 96 divisors (see below), whose sum is σ = 312297382849536. Its totient is φ = 23752777120000.

The previous prime is 100110210121013. The next prime is 100110210121039. The reversal of 100110210121020 is 20121012011001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100110210120987 and 100110210121005.

It is a congruent number.

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, 1613608731 + ... + 1613670770.

It is an arithmetic number, because the mean of its divisors is an integer number (3253097738016).

Almost surely, 2100110210121020 is an apocalyptic number.

100110210121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110210121020 is an abundant number, since it is smaller than the sum of its proper divisors (212187172728516).

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

100110210121020 is a wasteful number, since it uses less digits than its factorization.

100110210121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227279571 (or 3227279569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100110210121020 its reverse (20121012011001), we get a palindrome (120231222132021).

The spelling of 100110210121020 in words is "one hundred trillion, one hundred ten billion, two hundred ten million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 3227279501 6454559002 9681838503 12909118004 16136397505 19363677006 32272795010 35500074511 38727354012 48409192515 64545590020 71000149022 96818385030 106500223533 142000298044 151682136547 177500372555 193636770060 213000447066 303364273094 355000745110 426000894132 455046409641 532501117665 606728546188 710001490220 758410682735 910092819282 1065002235330 1516821365470 1668503502017 1820185638564 2130004470660 2275232048205 3033642730940 3337007004034 4550464096410 5005510506051 6674014008068 8342517510085 9100928192820 10011021012102 16685035020170 20022042024204 25027552530255 33370070040340 50055105060510 100110210121020