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2120120201100 = 2235211642460667
BaseRepresentation
bin11110110110100001000…
…000101110111110001100
321111200101211012022101010
4132312201000232332030
5234214001232413400
64301545245445220
7306113361240006
oct36664100567614
97450354168333
102120120201100
11748157644860
122a2a87b70810
13124c07616045
1474885b65376
153a2387c8450
hex1eda102ef8c

2120120201100 has 72 divisors (see below), whose sum is σ = 6691870317888. Its totient is φ = 513968532800.

The previous prime is 2120120201081. The next prime is 2120120201183. The reversal of 2120120201100 is 11020210212.

It is a super-2 number, since 2×21201202011002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321227034 + ... + 321233633.

It is an arithmetic number, because the mean of its divisors is an integer number (92942643304).

Almost surely, 22120120201100 is an apocalyptic number.

2120120201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120120201100 is an abundant number, since it is smaller than the sum of its proper divisors (4571750116788).

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

2120120201100 is a wasteful number, since it uses less digits than its factorization.

2120120201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642460695 (or 642460688 counting only the distinct ones).

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

Adding to 2120120201100 its reverse (11020210212), we get a palindrome (2131140411312).

The spelling of 2120120201100 in words is "two trillion, one hundred twenty billion, one hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 642460667 1284921334 1927382001 2569842668 3212303335 3854764002 6424606670 7067067337 7709528004 9636910005 12849213340 14134134674 16061516675 19273820010 21201202011 28268269348 32123033350 35335336685 38547640020 42402404022 48184550025 64246066700 70670673370 84804808044 96369100050 106006010055 141341346740 176676683425 192738200100 212012020110 353353366850 424024040220 530030050275 706706733700 1060060100550 2120120201100