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100221210212100 = 223524111778910433
BaseRepresentation
bin10110110010011010010001…
…101000100011011100000100
3111010212001110110100121221020
4112302122101220203130010
5101114011014303241400
6553052553253151140
730052513006003305
oct2662322150433404
9433761413317836
10100221210212100
1129a2a63844868a
12b2a766062b4b0
1343bca8679b483
141aa6a37c067ac
15b8beb4d662a0
hex5b2691a23704

100221210212100 has 144 divisors (see below), whose sum is σ = 290108946005760. Its totient is φ = 26713163980800.

The previous prime is 100221210212099. The next prime is 100221210212161. The reversal of 100221210212100 is 1212012122001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100221210212100.

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, 9606168484 + ... + 9606178916.

Almost surely, 2100221210212100 is an apocalyptic number.

100221210212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221210212100 is an abundant number, since it is smaller than the sum of its proper divisors (189887735793660).

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

100221210212100 is a wasteful number, since it uses less digits than its factorization.

100221210212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22350 (or 22343 counting only the distinct ones).

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

Adding to 100221210212100 its reverse (1212012122001), we get a palindrome (101433222334101).

The spelling of 100221210212100 in words is "one hundred trillion, two hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4111 7789 8222 10433 12333 15578 16444 20555 20866 23367 24666 31156 31299 38945 41110 41732 46734 49332 52165 61665 62598 77890 82220 93468 102775 104330 116835 123330 125196 155780 156495 194725 205550 208660 233670 246660 260825 308325 312990 389450 411100 467340 521650 584175 616650 625980 778900 782475 1043300 1168350 1233300 1564950 2336700 3129900 32020579 42890063 64041158 81262637 85780126 96061737 128082316 128670189 160102895 162525274 171560252 192123474 214450315 243787911 257340378 320205790 325050548 384246948 406313185 428900630 480308685 487575822 514680756 640411580 643350945 800514475 812626370 857801260 960617370 975151644 1072251575 1218939555 1286701890 1601028950 1625252740 1921234740 2031565925 2144503150 2401543425 2437879110 2573403780 3202057900 3216754725 4063131850 4289006300 4803086850 4875758220 6094697775 6433509450 8126263700 9606173700 12189395550 12867018900 24378791100 334070700707 668141401414 1002212102121 1336282802828 1670353503535 2004424204242 3340707007070 4008848408484 5011060510605 6681414014140 8351767517675 10022121021210 16703535035350 20044242042420 25055302553025 33407070070700 50110605106050 100221210212100