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212100202101102 = 237277139924775261
BaseRepresentation
bin110000001110011101101101…
…001100111111100101101110
31000210222120200202122022012120
4300032131231030333211232
5210300022203214213402
62031033253202213410
762450506506203550
oct6016355514774556
91023876622568176
10212100202101102
1161644210710857
121b956534654266
139146c6a2cc943
143a539c14314d0
15197c32dd1b3bc
hexc0e76d33f96e

212100202101102 has 128 divisors (see below), whose sum is σ = 487187582515200. Its totient is φ = 60302300981760.

The previous prime is 212100202101071. The next prime is 212100202101119. The reversal of 212100202101102 is 201101202001212.

It is a super-2 number, since 2×2121002021011022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40315565152 + ... + 40315570412.

It is an arithmetic number, because the mean of its divisors is an integer number (3806152988400).

Almost surely, 2212100202101102 is an apocalyptic number.

212100202101102 is an abundant number, since it is smaller than the sum of its proper divisors (275087380414098).

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

212100202101102 is a wasteful number, since it uses less digits than its factorization.

212100202101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212100202101102 its reverse (201101202001212), we get a palindrome (413201404102314).

It can be divided in two parts, 212100 and 202101102, that added together give a palindrome (202313202).

The spelling of 212100202101102 in words is "two hundred twelve trillion, one hundred billion, two hundred two million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 277 554 831 1399 1662 1939 2477 2798 3878 4197 4954 5261 5817 7431 8394 9793 10522 11634 14862 15783 17339 19586 29379 31566 34678 36827 52017 58758 73654 104034 110481 220962 387523 686129 775046 1162569 1372258 1457297 2058387 2325138 2712661 2914594 3465323 4116774 4371891 4802903 5425322 6930646 7360139 8137983 8743782 9605806 10201079 10395969 13031497 14408709 14720278 16275966 20402158 20791938 22080417 24257261 26062994 28817418 30603237 39094491 44160834 48514522 51520973 61206474 72771783 78188982 91220479 103041946 145543566 154562919 182440958 273661437 309125838 547322874 959894471 1919788942 2038758503 2879683413 3609724669 4077517006 5759366826 6116275509 6719261297 7219449338 10829174007 12232551018 13438522594 14271309521 18231064303 20157783891 21658348014 25268072683 28542619042 36462128606 40315567782 42813928563 50536145366 54693192909 75804218049 85627857126 109386385818 127617450121 151608436098 255234900242 382852350363 765704700726 5050004811931 10100009623862 15150014435793 30300028871586 35350033683517 70700067367034 106050101050551 212100202101102