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221011021101121 = 6134870910390129
BaseRepresentation
bin110010010000001000100011…
…011001110111100001000001
31001222112110002001122221020121
4302100020203121313201001
5212432021032400213441
62102015021134340241
764360343064034546
oct6220104331674101
91058473061587217
10221011021101121
116446a27a736709
12209554bb95a681
139642332c43454
143c80dc1cccbcd
151a8400cee7dd1
hexc90223677841

221011021101121 has 8 divisors (see below), whose sum is σ = 224634818402600. Its totient is φ = 217387245277440.

The previous prime is 221011021101097. The next prime is 221011021101149. The reversal of 221011021101121 is 121101120110122.

It can be written as a sum of positive squares in 4 ways, for example, as 4009249340721 + 217001771760400 = 2002311^2 + 14730980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221011021101121 - 217 = 221011020970049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221011021101095 and 221011021101104.

It is not an unprimeable number, because it can be changed into a prime (221011021101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16076185 + ... + 26466313.

It is an arithmetic number, because the mean of its divisors is an integer number (28079352300325).

Almost surely, 2221011021101121 is an apocalyptic number.

It is an amenable number.

221011021101121 is a deficient number, since it is larger than the sum of its proper divisors (3623797301479).

221011021101121 is a wasteful number, since it uses less digits than its factorization.

221011021101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738899.

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

Adding to 221011021101121 its reverse (121101120110122), we get a palindrome (342112141211243).

Subtracting from 221011021101121 its reverse (121101120110122), we obtain a palindrome (99909900990999).

The spelling of 221011021101121 in words is "two hundred twenty-one trillion, eleven billion, twenty-one million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 61 348709 10390129 21271249 633797869 3623131493461 221011021101121