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212121121101021 = 321164725791284083
BaseRepresentation
bin110000001110110001001100…
…000100101001010011011101
31000211001120200122102121100100
4300032301030010221103131
5210300343024000213041
62031051033041051313
762452150060601526
oct6016611404512335
91024046618377310
10212121121101021
116165207596a040
121b95a5b2326b39
139148c221c40c2
143a54a077bb84d
15197cb555b86b6
hexc0ec4c1294dd

212121121101021 has 48 divisors (see below), whose sum is σ = 334898147151360. Its totient is φ = 128309685228960.

The previous prime is 212121121101013. The next prime is 212121121101101. The reversal of 212121121101021 is 120101121121212.

It is a happy number.

212121121101021 is a `hidden beast` number, since 212 + 1 + 211 + 211 + 0 + 10 + 21 = 666.

It is not a de Polignac number, because 212121121101021 - 23 = 212121121101013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212121121100985 and 212121121101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121121101011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164550646 + ... + 165834728.

It is an arithmetic number, because the mean of its divisors is an integer number (6977044732320).

Almost surely, 2212121121101021 is an apocalyptic number.

It is an amenable number.

212121121101021 is a deficient number, since it is larger than the sum of its proper divisors (122777026050339).

212121121101021 is a wasteful number, since it uses less digits than its factorization.

212121121101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287326 (or 1287323 counting only the distinct ones).

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

Adding to 212121121101021 its reverse (120101121121212), we get a palindrome (332222242222233).

It can be divided in two parts, 2121211 and 21101021, that added together give a palindrome (23222232).

The spelling of 212121121101021 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 11 33 99 647 1941 2579 5823 7117 7737 21351 23211 28369 64053 85107 255321 1284083 1668613 3852249 5005839 11556747 14124913 15017517 18354743 42374739 55064229 127124217 165192687 830801701 2492405103 3311650057 7477215309 9138818711 9934950171 27416456133 29804850513 36428150627 82249368399 109284451881 327853355643 2142637586879 6427912760637 19283738281911 23569013455669 70707040367007 212121121101021