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212021120110100 = 22527243269616349
BaseRepresentation
bin110000001101010100000011…
…100011001000111000010100
31000210201000120101220220210212
4300031110003203020320110
5210242223223222010400
62030533054040504552
762442010002315200
oct6015240343107024
91023630511826725
10212021120110100
1161613719a174a4
121b94314417b158
13913c676428622
143a4dc3c57db00
15197a251235335
hexc0d5038c8e14

212021120110100 has 54 divisors (see below), whose sum is σ = 535201884633150. Its totient is φ = 72692955464640.

The previous prime is 212021120109979. The next prime is 212021120110127. The reversal of 212021120110100 is 1011021120212.

It can be written as a sum of positive squares in 3 ways, for example, as 20792159064964 + 191228961045136 = 4559842^2 + 13828556^2 .

It is a super-2 number, since 2×2120211201101002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21634803275 + ... + 21634813074.

It is an arithmetic number, because the mean of its divisors is an integer number (9911146011725).

Almost surely, 2212021120110100 is an apocalyptic number.

212021120110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021120110100 is an abundant number, since it is smaller than the sum of its proper divisors (323180764523050).

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

212021120110100 is a wasteful number, since it uses less digits than its factorization.

212021120110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43269616377 (or 43269616363 counting only the distinct ones).

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

Adding to 212021120110100 its reverse (1011021120212), we get a palindrome (213032141230312).

The spelling of 212021120110100 in words is "two hundred twelve trillion, twenty-one billion, one hundred twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 43269616349 86539232698 173078465396 216348081745 302887314443 432696163490 605774628886 865392326980 1081740408725 1211549257772 1514436572215 2120211201101 2163480817450 3028873144430 4240422402202 4326961634900 6057746288860 7572182861075 8480844804404 10601056005505 15144365722150 21202112011010 30288731444300 42404224022020 53005280027525 106010560055050 212021120110100