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2112121012221 = 321122819353159
BaseRepresentation
bin11110101111000100001…
…110001111111111111101
321110220202100022102010100
4132233010032033333331
5234101110434342341
64254143415231313
7305411220245433
oct36570416177775
97426670272110
102112121012221
11744822280860
122a1415078539
131242312c819c
147432762cd53
1539e1b3dd3b6
hex1ebc438fffd

2112121012221 has 24 divisors (see below), whose sum is σ = 3329650134720. Its totient is φ = 1279512014400.

The previous prime is 2112121012193. The next prime is 2112121012259. The reversal of 2112121012221 is 1222101212112.

2112121012221 is a `hidden beast` number, since 211 + 21 + 210 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 2112121012221 - 29 = 2112121011709 is a prime.

It is a super-2 number, since 2×21121210122212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112121012194 and 2112121012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121019221) 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, 4450761 + ... + 4902398.

It is an arithmetic number, because the mean of its divisors is an integer number (138735422280).

Almost surely, 22112121012221 is an apocalyptic number.

It is an amenable number.

2112121012221 is a deficient number, since it is larger than the sum of its proper divisors (1217529122499).

2112121012221 is a wasteful number, since it uses less digits than its factorization.

2112121012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9355457 (or 9355454 counting only the distinct ones).

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

Adding to 2112121012221 its reverse (1222101212112), we get a palindrome (3334222224333).

The spelling of 2112121012221 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 2281 6843 20529 25091 75273 225819 9353159 28059477 84178431 102884749 308654247 925962741 21334555679 64003667037 192011001111 234680112469 704040337407 2112121012221