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2120102210100 = 2235277559133559
BaseRepresentation
bin11110110110011111111…
…100000110101000110100
321111200100120100021100210
4132312133330012220310
5234213432131210400
64301543404105420
7306113052306060
oct36663774065064
97450316307323
102120102210100
11748148476966
122a2a81b35270
13124c03987194
1474883600aa0
153a236e22950
hex1ed9ff06a34

2120102210100 has 144 divisors (see below), whose sum is σ = 7011451238400. Its totient is φ = 484527054720.

The previous prime is 2120102210059. The next prime is 2120102210113. The reversal of 2120102210100 is 10122010212.

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

It is a congruent number.

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, 15807121 + ... + 15940679.

It is an arithmetic number, because the mean of its divisors is an integer number (48690633600).

Almost surely, 22120102210100 is an apocalyptic number.

2120102210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120102210100 is an abundant number, since it is smaller than the sum of its proper divisors (4891349028300).

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

2120102210100 is a wasteful number, since it uses less digits than its factorization.

2120102210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141142 (or 141135 counting only the distinct ones).

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

Adding to 2120102210100 its reverse (10122010212), we get a palindrome (2130224220312).

The spelling of 2120102210100 in words is "two trillion, one hundred twenty billion, one hundred two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 7559 15118 22677 30236 37795 45354 52913 75590 90708 105826 113385 133559 151180 158739 188975 211652 226770 264565 267118 317478 377950 400677 453540 529130 534236 566925 634956 667795 755900 793695 801354 934913 1058260 1133850 1322825 1335590 1587390 1602708 1869826 2003385 2267700 2645650 2671180 2804739 3174780 3338975 3739652 3968475 4006770 4674565 5291300 5609478 6677950 7936950 8013540 9349130 10016925 11218956 13355900 14023695 15873900 18698260 20033850 23372825 28047390 40067700 46745650 56094780 70118475 93491300 140236950 280473900 1009572481 2019144962 3028717443 4038289924 5047862405 6057434886 7067007367 10095724810 12114869772 14134014734 15143587215 20191449620 21201022101 25239312025 28268029468 30287174430 35335036835 42402044202 50478624050 60574348860 70670073670 75717936075 84804088404 100957248100 106005110505 141340147340 151435872150 176675184175 212010221010 302871744300 353350368350 424020442020 530025552525 706700736700 1060051105050 2120102210100