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221110012121121 = 321031251119064993
BaseRepresentation
bin110010010001100100101111…
…101110101001000000100001
31001222212220120220201210010200
4302101210233232221000201
5212440131301100333441
62102132312015415413
764400446136601444
oct6221445756510041
91058786526653120
10221110012121121
11644a8258575142
1220970727824569
13964b77a6c04b6
143c85ad2d4565b
151a868a387a7b6
hexc9192fba9021

221110012121121 has 24 divisors (see below), whose sum is σ = 322507709062656. Its totient is φ = 145963866551040.

The previous prime is 221110012121099. The next prime is 221110012121147. The reversal of 221110012121121 is 121121210011122.

It is a happy number.

221110012121121 is a `hidden beast` number, since 2 + 211 + 100 + 121 + 211 + 21 = 666.

It is not a de Polignac number, because 221110012121121 - 27 = 221110012120993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221110012121094 and 221110012121103.

It is not an unprimeable number, because it can be changed into a prime (221110012131121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2065201 + ... + 21130193.

It is an arithmetic number, because the mean of its divisors is an integer number (13437821210944).

Almost surely, 2221110012121121 is an apocalyptic number.

It is an amenable number.

221110012121121 is a deficient number, since it is larger than the sum of its proper divisors (101397696941535).

221110012121121 is a wasteful number, since it uses less digits than its factorization.

221110012121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19077613 (or 19077610 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221110012121121 its reverse (121121210011122), we get a palindrome (342231222132243).

The spelling of 221110012121121 in words is "two hundred twenty-one trillion, one hundred ten billion, twelve million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 103 309 927 12511 37533 112599 1288633 3865899 11597697 19064993 57194979 171584937 1963694279 5891082837 17673248511 238522127423 715566382269 2146699146807 24567779124569 73703337373707 221110012121121