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20121221110101 = 334756933395177
BaseRepresentation
bin1001001001100110101100…
…01111001001100101010101
32122020120101111100221022020
410210303112033021211111
510114131230101010401
6110443321131123353
74144465421324016
oct444632617114525
978216344327266
1020121221110101
1164583a8837261
12230b7642a3559
13b2c566474057
144d7c2d82b00d
1524d5ec146d36
hex124cd63c9955

20121221110101 has 16 divisors (see below), whose sum is σ = 26910343796544. Its totient is φ = 13373136520064.

The previous prime is 20121221110037. The next prime is 20121221110121. The reversal of 20121221110101 is 10101112212102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20121221110101 - 26 = 20121221110037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121221110121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4228825 + ... + 7624001.

It is an arithmetic number, because the mean of its divisors is an integer number (1681896487284).

Almost surely, 220121221110101 is an apocalyptic number.

It is an amenable number.

20121221110101 is a deficient number, since it is larger than the sum of its proper divisors (6789122686443).

20121221110101 is a wasteful number, since it uses less digits than its factorization.

20121221110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401220.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20121221110101 its reverse (10101112212102), we get a palindrome (30222333322203).

The spelling of 20121221110101 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred ten thousand, one hundred one".

Divisors: 1 3 347 1041 5693 17079 1975471 3395177 5926413 10185531 1178126419 3534379257 19328742661 57986227983 6707073703367 20121221110101