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100021211200020 = 223511174187046117
BaseRepresentation
bin10110101111100000000000…
…110000110111101000010100
3111010010221020011221010121110
4112233200000300313220110
5101102221420031400040
6552421035440215020
730032202566312445
oct2657400060675024
9433127204833543
10100021211200020
11299628371a1750
12b27494530a470
1343a6c62736b86
141a9b0a3d012cc
15b86baba39980
hex5af800c37a14

100021211200020 has 96 divisors (see below), whose sum is σ = 305694824512896. Its totient is φ = 24233638694400.

The previous prime is 100021211200019. The next prime is 100021211200037. The reversal of 100021211200020 is 20002112120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100021211199969 and 100021211200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42373999 + ... + 44672118.

It is an arithmetic number, because the mean of its divisors is an integer number (3184321088676).

Almost surely, 2100021211200020 is an apocalyptic number.

100021211200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021211200020 is an abundant number, since it is smaller than the sum of its proper divisors (205673613312876).

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

100021211200020 is a wasteful number, since it uses less digits than its factorization.

100021211200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87047881 (or 87047879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021211200020 its reverse (20002112120001), we get a palindrome (120023323320021).

The spelling of 100021211200020 in words is "one hundred trillion, twenty-one billion, two hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1741 3482 5223 6964 8705 10446 17410 19151 20892 26115 34820 38302 52230 57453 76604 95755 104460 114906 191510 229812 287265 383020 574530 1149060 87046117 174092234 261138351 348184468 435230585 522276702 870461170 957507287 1044553404 1305691755 1740922340 1915014574 2611383510 2872521861 3830029148 4787536435 5222767020 5745043722 9575072870 11490087444 14362609305 19150145740 28725218610 57450437220 151547289697 303094579394 454641869091 606189158788 757736448485 909283738182 1515472896970 1667020186667 1818567476364 2273209345455 3030945793940 3334040373334 4546418690910 5001060560001 6668080746668 8335100933335 9092837381820 10002121120002 16670201866670 20004242240004 25005302800005 33340403733340 50010605600010 100021211200020