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1121021221100 = 2252111982365173
BaseRepresentation
bin10000010100000010000…
…100100101100011101100
310222011112220012102222012
4100110002010211203230
5121331322413033400
62214553503140352
7143663644105304
oct20240204454354
93864486172865
101121021221100
113a24712885a0
121613178a46b8
1381933c10241
143c387262604
151e2611e0d35
hex105021258ec

1121021221100 has 144 divisors (see below), whose sum is σ = 2796871822080. Its totient is φ = 385713964800.

The previous prime is 1121021221051. The next prime is 1121021221127. The reversal of 1121021221100 is 11221201211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17168114 + ... + 17233286.

Almost surely, 21121021221100 is an apocalyptic number.

1121021221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121021221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398435911040).

1121021221100 is an abundant number, since it is smaller than the sum of its proper divisors (1675850600980).

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

1121021221100 is a wasteful number, since it uses less digits than its factorization.

1121021221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66040 (or 66033 counting only the distinct ones).

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

Adding to 1121021221100 its reverse (11221201211), we get a palindrome (1132242422311).

The spelling of 1121021221100 in words is "one trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 823 836 950 1045 1100 1646 1900 2090 3292 4115 4180 5225 8230 9053 10450 15637 16460 18106 20575 20900 31274 36212 41150 45265 62548 65173 78185 82300 90530 130346 156370 172007 181060 226325 260692 312740 325865 344014 390925 452650 651730 688028 716903 781850 860035 905300 1238287 1303460 1433806 1563700 1629325 1720070 2476574 2867612 3258650 3440140 3584515 4300175 4953148 6191435 6517300 7169030 8600350 12382870 13621157 14338060 17200700 17922575 24765740 27242314 30957175 35845150 53637379 54484628 61914350 68105785 71690300 107274758 123828700 136211570 214549516 268186895 272423140 340528925 536373790 590011169 681057850 1019110201 1072747580 1180022338 1340934475 1362115700 2038220402 2360044676 2681868950 2950055845 4076440804 5095551005 5363737900 5900111690 10191102010 11210212211 11800223380 14750279225 20382204020 22420424422 25477755025 29500558450 44840848844 50955510050 56051061055 59001116900 101911020100 112102122110 224204244220 280255305275 560510610550 1121021221100