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21210100101212 = 22112394679294649
BaseRepresentation
bin1001101001010010111000…
…11110110111000001011100
32210002122222100021220210212
410310221130132313001130
510240001241111214322
6113035441354551552
74316244024123101
oct464513436670134
983078870256725
1021210100101212
116838175619710
1224667ab7385b8
13bab147236799
14534807d24aa8
1526bacb6040e2
hex134a5c7b705c

21210100101212 has 96 divisors (see below), whose sum is σ = 40801138560000. Its totient is φ = 9567687127040.

The previous prime is 21210100101181. The next prime is 21210100101217.

21210100101212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210100101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4562290664 + ... + 4562295312.

It is an arithmetic number, because the mean of its divisors is an integer number (425011860000).

Almost surely, 221210100101212 is an apocalyptic number.

21210100101212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21210100101212 is a deficient number, since it is larger than the sum of its proper divisors (19591038458788).

21210100101212 is a wasteful number, since it uses less digits than its factorization.

21210100101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6297 counting only the distinct ones).

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

It can be divided in two parts, 21210100 and 101212, that added together give a palindrome (21311312).

The spelling of 21210100101212 in words is "twenty-one trillion, two hundred ten billion, one hundred million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 239 467 478 929 934 956 1858 1868 2629 3716 4649 5137 5258 9298 10219 10274 10516 18596 20438 20548 40876 51139 102278 111613 204556 222031 223226 433843 444062 446452 867686 888124 1111111 1227743 1735372 2171083 2222222 2442341 2455486 4318921 4342166 4444444 4772273 4884682 4910972 8637842 8684332 9544546 9769364 12222221 17275684 19089092 23881913 24444442 47508131 47763826 48888884 95016262 95527652 103688477 190032524 207376954 414753908 518888837 1032222119 1037777674 1140573247 2016936107 2064444238 2075555348 2281146494 4033872214 4128888476 4562292988 5707777207 8067744428 11354443309 11415554414 22186297177 22708886618 22831108828 44372594354 45417773236 88745188708 482047729573 964095459146 1928190918292 5302525025303 10605050050606 21210100101212