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2010221122100 = 2252173133777901
BaseRepresentation
bin11101010000001010100…
…001000001001000110100
321010011201202200122120212
4131100022201001020310
5230413413101401400
64135252143044552
7265143103415612
oct35201241011064
97104652618525
102010221122100
11705591465134
12285716ba0758
13117741cc2c09
146d41c1326b2
15374554b8335
hex1d40a841234

2010221122100 has 72 divisors (see below), whose sum is σ = 4633536356568. Its totient is φ = 754371072000.

The previous prime is 2010221122093. The next prime is 2010221122183. The reversal of 2010221122100 is 12211220102.

It can be written as a sum of positive squares in 12 ways, for example, as 628284510736 + 1381936611364 = 792644^2 + 1175558^2 .

It is a congruent number.

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, 1356851 + ... + 2421050.

It is an arithmetic number, because the mean of its divisors is an integer number (64354671619).

Almost surely, 22010221122100 is an apocalyptic number.

2010221122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010221122100 is an abundant number, since it is smaller than the sum of its proper divisors (2623315234468).

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

2010221122100 is a wasteful number, since it uses less digits than its factorization.

2010221122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778245 (or 3778238 counting only the distinct ones).

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

Adding to 2010221122100 its reverse (12211220102), we get a palindrome (2022432342202).

The spelling of 2010221122100 in words is "two trillion, ten billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 313 340 425 626 850 1252 1565 1700 3130 5321 6260 7825 10642 15650 21284 26605 31300 53210 106420 133025 266050 532100 3777901 7555802 15111604 18889505 37779010 64224317 75558020 94447525 128448634 188895050 256897268 321121585 377790100 642243170 1182483013 1284486340 1605607925 2364966026 3211215850 4729932052 5912415065 6422431700 11824830130 20102211221 23649660260 29562075325 40204422442 59124150650 80408844884 100511056105 118248301300 201022112210 402044224420 502555280525 1005110561050 2010221122100