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221021120210121 = 32721145561970771
BaseRepresentation
bin110010010000010001111101…
…010110111010010011001001
31001222120102010212220211100200
4302100101331112322103021
5212432202223233210441
62102023411221322413
764361151254041200
oct6220217526722311
91058512125824320
10221021120210121
1164473592393790
1220957459b66409
1396432823219aa
143c8169d290237
151a843ee9317b6
hexc9047d5ba4c9

221021120210121 has 36 divisors (see below), whose sum is σ = 405137044104624. Its totient is φ = 114816166340400.

The previous prime is 221021120210119. The next prime is 221021120210153. The reversal of 221021120210121 is 121012021120122.

221021120210121 is a `hidden beast` number, since 2 + 210 + 2 + 1 + 120 + 210 + 121 = 666.

It is not a de Polignac number, because 221021120210121 - 21 = 221021120210119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221021120210094 and 221021120210103.

It is not an unprimeable number, because it can be changed into a prime (221021120210171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22780980535 + ... + 22780990236.

It is an arithmetic number, because the mean of its divisors is an integer number (11253806780684).

Almost surely, 2221021120210121 is an apocalyptic number.

221021120210121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221021120210121 is a deficient number, since it is larger than the sum of its proper divisors (184115923894503).

221021120210121 is a wasteful number, since it uses less digits than its factorization.

221021120210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45561970802 (or 45561970792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221021120210121 its reverse (121012021120122), we get a palindrome (342033141330243).

The spelling of 221021120210121 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twenty million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 45561970771 136685912313 318933795397 410057736939 501181678481 956801386191 1503545035443 2232536567779 2870404158573 3508271749367 4510635106329 6697609703337 10524815248101 20092829110011 24557902245569 31574445744303 73673706736707 221021120210121