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2101121002020 = 2235177926074969
BaseRepresentation
bin11110100100110100100…
…100100010101000100100
321102212100201211222220010
4132210310210202220210
5233411043434031040
64245124111010220
7304541510561025
oct36446444425044
97385321758803
102101121002020
11740098036337
1229b265209970
1312319a399001
14739a2758c4c
15399c584ae80
hex1e934922a24

2101121002020 has 96 divisors (see below), whose sum is σ = 6308056742400. Its totient is φ = 520664961024.

The previous prime is 2101121001997. The next prime is 2101121002039. The reversal of 2101121002020 is 202001211012.

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 = 2101121001987 and 2101121002005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12956905 + ... + 13118064.

It is an arithmetic number, because the mean of its divisors is an integer number (65708924400).

Almost surely, 22101121002020 is an apocalyptic number.

2101121002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101121002020 is an abundant number, since it is smaller than the sum of its proper divisors (4206935740380).

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

2101121002020 is a wasteful number, since it uses less digits than its factorization.

2101121002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26075077 (or 26075075 counting only the distinct ones).

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

Adding to 2101121002020 its reverse (202001211012), we get a palindrome (2303122213032).

The spelling of 2101121002020 in words is "two trillion, one hundred one billion, one hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 79 85 102 158 170 204 237 255 316 340 395 474 510 790 948 1020 1185 1343 1580 2370 2686 4029 4740 5372 6715 8058 13430 16116 20145 26860 40290 80580 26074969 52149938 78224907 104299876 130374845 156449814 260749690 312899628 391124535 443274473 521499380 782249070 886548946 1329823419 1564498140 1773097892 2059922551 2216372365 2659646838 4119845102 4432744730 5319293676 6179767653 6649117095 8239690204 8865489460 10299612755 12359535306 13298234190 20599225510 24719070612 26596468380 30898838265 35018683367 41198451020 61797676530 70037366734 105056050101 123595353060 140074733468 175093416835 210112100202 350186833670 420224200404 525280250505 700373667340 1050560501010 2101121002020