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110102122101020 = 22574166129018993
BaseRepresentation
bin11001000010001100100101…
…111000000111100100011100
3112102211122211012022000200212
4121002030211320013210130
5103412403121224213040
61030100114442511552
732122421140201520
oct3102144570074434
9472748735260625
10110102122101020
113209a05862a195
1210422641b055b8
13495877c63957a
141d28d84b61d80
15cae01edccd65
hex642325e0791c

110102122101020 has 96 divisors (see below), whose sum is σ = 271099620683136. Its totient is φ = 36772866662400.

The previous prime is 110102122101001. The next prime is 110102122101113. The reversal of 110102122101020 is 20101221201011.

It is a super-2 number, since 2×1101021221010202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110102122100986 and 110102122101004.

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, 10715357 + ... + 18303636.

It is an arithmetic number, because the mean of its divisors is an integer number (2823954382116).

Almost surely, 2110102122101020 is an apocalyptic number.

110102122101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102122101020 is an abundant number, since it is smaller than the sum of its proper divisors (160997498582116).

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

110102122101020 is a wasteful number, since it uses less digits than its factorization.

110102122101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29019711 (or 29019709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110102122101020 its reverse (20101221201011), we get a palindrome (130203343302031).

Subtracting from 110102122101020 its reverse (20101221201011), we obtain a palindrome (90000900900009).

The spelling of 110102122101020 in words is "one hundred ten trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 661 820 1148 1322 1435 2644 2870 3305 4627 5740 6610 9254 13220 18508 23135 27101 46270 54202 92540 108404 135505 189707 271010 379414 542020 758828 948535 1897070 3794140 29018993 58037986 116075972 145094965 203132951 290189930 406265902 580379860 812531804 1015664755 1189778713 2031329510 2379557426 4062659020 4759114852 5948893565 8328450991 11897787130 16656901982 19181554373 23795574260 33313803964 38363108746 41642254955 76726217492 83284509910 95907771865 134270880611 166569019820 191815543730 268541761222 383631087460 537083522444 671354403055 786443729293 1342708806110 1572887458586 2685417612220 3145774917172 3932218646465 5505106105051 7864437292930 11010212210102 15728874585860 22020424420204 27525530525255 55051061050510 110102122101020