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1021201022120 = 2351723641101863
BaseRepresentation
bin11101101110001000101…
…00101111110010101000
310121121220020212221100112
432313010110233302220
5113212404430201440
62101044441553452
7133531212316106
oct16670424576250
93547806787315
101021201022120
113640a8399684
12145aba1a5888
13753b6734c46
14375d8046c76
151b86cb70965
hexedc452fca8

1021201022120 has 128 divisors (see below), whose sum is σ = 2542623229440. Its totient is φ = 367159541760.

The previous prime is 1021201022099. The next prime is 1021201022213. The reversal of 1021201022120 is 212201021201.

It is a junction number, because it is equal to n+sod(n) for n = 1021201022095 and 1021201022104.

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, 9974309 + ... + 10076171.

It is an arithmetic number, because the mean of its divisors is an integer number (19864243980).

Almost surely, 21021201022120 is an apocalyptic number.

1021201022120 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 1021201022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271311614720).

1021201022120 is an abundant number, since it is smaller than the sum of its proper divisors (1521422207320).

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

1021201022120 is a wasteful number, since it uses less digits than its factorization.

1021201022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102555 (or 102551 counting only the distinct ones).

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

Adding to 1021201022120 its reverse (212201021201), we get a palindrome (1233402043321).

The spelling of 1021201022120 in words is "one trillion, twenty-one billion, two hundred one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 641 680 782 920 1282 1564 1955 2564 3128 3205 3910 5128 6410 7820 10897 12820 14743 15640 21794 25640 29486 43588 54485 58972 73715 87176 101863 108970 117944 147430 203726 217940 250631 294860 407452 435880 501262 509315 589720 814904 1002524 1018630 1253155 1731671 2005048 2037260 2342849 2506310 3463342 4074520 4685698 5012620 6926684 8658355 9371396 10025240 11714245 13853368 17316710 18742792 23428490 34633420 39828433 46856980 65294183 69266840 79656866 93713960 130588366 159313732 199142165 261176732 318627464 326470915 398284330 522353464 652941830 796568660 1110001111 1305883660 1501766209 1593137320 2220002222 2611767320 3003532418 4440004444 5550005555 6007064836 7508831045 8880008888 11100011110 12014129672 15017662090 22200022220 25530025553 30035324180 44400044440 51060051106 60070648360 102120102212 127650127765 204240204424 255300255530 510600511060 1021201022120