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2122212012100 = 225221222120121
BaseRepresentation
bin11110111000011101101…
…100010111000001000100
321111212210121022022121121
4132320131230113001010
5234232242233341400
64302533012323324
7306216251316235
oct36703554270104
97455717268547
102122212012100
1174903039a384
122a3370613544
1312517bac772b
1474a038bd08c
153a30c27421a
hex1ee1db17044

2122212012100 has 18 divisors (see below), whose sum is σ = 4605200066474. Its totient is φ = 848884804800.

The previous prime is 2122212012091. The next prime is 2122212012119. The reversal of 2122212012100 is 12102122212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11026260036 + 2111185752064 = 105006^2 + 1452992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10611059961 + ... + 10611060160.

Almost surely, 22122212012100 is an apocalyptic number.

2122212012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122212012100 is an abundant number, since it is smaller than the sum of its proper divisors (2482988054374).

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

2122212012100 is a wasteful number, since it uses less digits than its factorization.

2122212012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21222120135 (or 21222120128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122212012100 its reverse (12102122212), we get a palindrome (2134314134312).

The spelling of 2122212012100 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21222120121 42444240242 84888480484 106110600605 212221201210 424442402420 530553003025 1061106006050 2122212012100