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21002120102120 = 23526891063118367
BaseRepresentation
bin1001100011001111011111…
…11010001000000011101000
32202100210010212020021111112
410301213233322020003220
510223044320221231440
6112400124001445452
74265232054240443
oct461475772100350
982323125207445
1021002120102120
116767a49301043
122432427640888
13b94650888171
145287180a465a
152664a77d5965
hex1319efe880e8

21002120102120 has 64 divisors (see below), whose sum is σ = 47279364249600. Its totient is φ = 8396476784640.

The previous prime is 21002120102101. The next prime is 21002120102141. The reversal of 21002120102120 is 2120102120012.

It is a junction number, because it is equal to n+sod(n) for n = 21002120102095 and 21002120102104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143461177 + ... + 1143479543.

It is an arithmetic number, because the mean of its divisors is an integer number (738740066400).

Almost surely, 221002120102120 is an apocalyptic number.

21002120102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002120102120 is an abundant number, since it is smaller than the sum of its proper divisors (26277244147480).

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

21002120102120 is a wasteful number, since it uses less digits than its factorization.

21002120102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31698 (or 31694 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21002120102120 its reverse (2120102120012), we get a palindrome (23122222222132).

The spelling of 21002120102120 in words is "twenty-one trillion, two billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2689 5378 10631 10756 13445 18367 21262 21512 26890 36734 42524 53155 53780 73468 85048 91835 106310 107560 146936 183670 212620 367340 425240 734680 28586759 49388863 57173518 98777726 114347036 142933795 195259577 197555452 228694072 246944315 285867590 390519154 395110904 493888630 571735180 781038308 976297885 987777260 1143470360 1562076616 1952595770 1975554520 3905191540 7810383080 525053002553 1050106005106 2100212010212 2625265012765 4200424020424 5250530025530 10501060051060 21002120102120