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21121101100212 = 22337293217974509
BaseRepresentation
bin1001100110101101000111…
…01110100111010010110100
32202210011020211222020011120
410303112203232213102310
510232022003340201322
6112530522213303540
74306643401111011
oct463264356472264
982704224866146
1021121101100212
116803454a43a23
1224514b2034bb0
13ba2932911309
145303a3d54708
1526961d0a4a5c
hex1335a3ba74b4

21121101100212 has 96 divisors (see below), whose sum is σ = 50811265948800. Its totient is φ = 6823483172352.

The previous prime is 21121101100207. The next prime is 21121101100213. The reversal of 21121101100212 is 21200110112112.

It is a happy number.

It is a super-2 number, since 2×211211011002122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121101100191 and 21121101100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121101100213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283433214 + ... + 283507722.

It is an arithmetic number, because the mean of its divisors is an integer number (529284020300).

Almost surely, 221121101100212 is an apocalyptic number.

It is an amenable number.

21121101100212 is an abundant number, since it is smaller than the sum of its proper divisors (29690164848588).

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

21121101100212 is a wasteful number, since it uses less digits than its factorization.

21121101100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77025 (or 77023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21121101100212 its reverse (21200110112112), we get a palindrome (42321211212324).

The spelling of 21121101100212 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 293 444 586 879 1172 1758 2179 3516 4358 6537 8716 10841 13074 21682 26148 32523 43364 65046 74509 80623 130092 149018 161246 223527 241869 298036 322492 447054 483738 638447 894108 967476 1276894 1915341 2553788 2756833 3830682 5513666 7661364 8270499 11027332 16540998 21831137 23622539 33081996 43662274 47245078 65493411 70867617 87324548 94490156 130986822 141735234 162355111 261973644 283470468 324710222 487065333 649420444 807752069 974130666 1615504138 1948261332 2423256207 3231008276 4846512414 6007139107 9693024828 12014278214 18021417321 24028556428 36042834642 47570047523 72085669284 95140095046 142710142569 190280190092 285420285138 570840570276 1760091758351 3520183516702 5280275275053 7040367033404 10560550550106 21121101100212