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2120210101020 = 2235118423381389
BaseRepresentation
bin11110110110100110010…
…111101011001100011100
321111200122002100200212210
4132312212113223030130
5234214142241213040
64302002220400420
7306115532334624
oct36664627531434
97450562320783
102120210101020
117481a3367a10
122a2ab20a6110
13124c2013156b
1474893a87884
153a241635480
hex1eda65eb31c

2120210101020 has 96 divisors (see below), whose sum is σ = 6477063989760. Its totient is φ = 513927957760.

The previous prime is 2120210101001. The next prime is 2120210101039. The reversal of 2120210101020 is 201010120212.

It is an interprime number because it is at equal distance from previous prime (2120210101001) and next prime (2120210101039).

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 = 2120210100987 and 2120210101005.

It is a congruent number.

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, 5368486 + ... + 5749874.

It is an arithmetic number, because the mean of its divisors is an integer number (67469416560).

Almost surely, 22120210101020 is an apocalyptic number.

2120210101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120210101020 is an abundant number, since it is smaller than the sum of its proper divisors (4356853888740).

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

2120210101020 is a wasteful number, since it uses less digits than its factorization.

2120210101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389835 (or 389833 counting only the distinct ones).

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

Adding to 2120210101020 its reverse (201010120212), we get a palindrome (2321220221232).

The spelling of 2120210101020 in words is "two trillion, one hundred twenty billion, two hundred ten million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 8423 16846 25269 33692 42115 50538 84230 92653 101076 126345 168460 185306 252690 277959 370612 381389 463265 505380 555918 762778 926530 1111836 1144167 1389795 1525556 1853060 1906945 2288334 2779590 3813890 4195279 4576668 5559180 5720835 7627780 8390558 11441670 12585837 16781116 20976395 22883340 25171674 41952790 50343348 62929185 83905580 125858370 251716740 3212439547 6424879094 9637318641 12849758188 16062197735 19274637282 32124395470 35336835017 38549274564 48186593205 64248790940 70673670034 96373186410 106010505051 141347340068 176684175085 192746372820 212021010102 353368350170 424042020204 530052525255 706736700340 1060105050510 2120210101020