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12101010112121 = 719111778140381
BaseRepresentation
bin1011000000010111110001…
…1010001011111001111001
31120211211211012102110101012
42300011330122023321321
53041230332042041441
641423043255203305
72356161211546220
oct260057432137171
946754735373335
1012101010112121
113946011810107
12143530b976535
1369a17456a0b8
142db998c5dcb7
1515eb95b879eb
hexb017c68be79

12101010112121 has 16 divisors (see below), whose sum is σ = 14558910399360. Its totient is φ = 9825503783040.

The previous prime is 12101010112111. The next prime is 12101010112187. The reversal of 12101010112121 is 12121101010121.

It is a cyclic number.

It is not a de Polignac number, because 12101010112121 - 210 = 12101010111097 is a prime.

It is a super-2 number, since 2×121010101121212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101010112096 and 12101010112105.

It is not an unprimeable number, because it can be changed into a prime (12101010112111) 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 15 ways as a sum of consecutive naturals, for example, 2583650 + ... + 5556731.

It is an arithmetic number, because the mean of its divisors is an integer number (909931899960).

Almost surely, 212101010112121 is an apocalyptic number.

It is an amenable number.

12101010112121 is a deficient number, since it is larger than the sum of its proper divisors (2457900287239).

12101010112121 is a wasteful number, since it uses less digits than its factorization.

12101010112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151584.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12101010112121 its reverse (12121101010121), we get a palindrome (24222111122242).

The spelling of 12101010112121 in words is "twelve trillion, one hundred one billion, ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 19 133 11177 78239 212363 1486541 8140381 56982667 154667239 1082670673 90985038437 636895269059 1728715730303 12101010112121