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100210012122220 = 225711135005495111
BaseRepresentation
bin10110110010001111110110…
…001011001110110001101100
3111010210222120001011201110121
4112302033312023032301230
5101113320101100402340
6553043502151214324
730051635342550040
oct2662176613166154
9433728501151417
10100210012122220
1129a25911411a50
12b2a54563773a4
1343bb9c08080a0
141aa62948d0020
15b8ba5bbe894a
hex5b23f62cec6c

100210012122220 has 96 divisors (see below), whose sum is σ = 282550188082176. Its totient is φ = 28831651833600.

The previous prime is 100210012122179. The next prime is 100210012122317. The reversal of 100210012122220 is 22221210012001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100210012122194 and 100210012122203.

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, 2502727536 + ... + 2502767575.

It is an arithmetic number, because the mean of its divisors is an integer number (2943231125856).

Almost surely, 2100210012122220 is an apocalyptic number.

100210012122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210012122220 is an abundant number, since it is smaller than the sum of its proper divisors (182340175959956).

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

100210012122220 is a wasteful number, since it uses less digits than its factorization.

100210012122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005495151 (or 5005495149 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100210012122220 its reverse (22221210012001), we get a palindrome (122431222134221).

The spelling of 100210012122220 in words is "one hundred trillion, two hundred ten billion, twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 5005495111 10010990222 20021980444 25027475555 35038465777 50054951110 55060446221 65071436443 70076931554 100109902220 110120892442 130142872886 140153863108 175192328885 220241784884 260285745772 275302231105 325357182215 350384657770 385423123547 455500055101 550604462210 650714364430 700769315540 715785800873 770846247094 911000110202 1101208924420 1301428728860 1431571601746 1541692494188 1822000220404 1927115617735 2277500275505 2863143203492 3578929004365 3854231235470 4555000551010 5010500606111 7157858008730 7708462470940 9110001102020 10021001212222 14315716017460 20042002424444 25052503030555 50105006061110 100210012122220