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2121112220121 = 321489715820577
BaseRepresentation
bin11110110111011100001…
…000111111000111011001
321111202221221212002122100
4132313130020333013121
5234223014212020441
64302231524114013
7306150065250516
oct36673410770731
97452857762570
102121112220121
11748616607394
122a3104235909
13125034cba64b
147493b7d630d
153a29592ecb6
hex1eddc23f1d9

2121112220121 has 12 divisors (see below), whose sum is σ = 3064034623572. Its totient is φ = 1413979800576.

The previous prime is 2121112220107. The next prime is 2121112220197. The reversal of 2121112220121 is 1210222111212.

2121112220121 is a `hidden beast` number, since 212 + 1 + 112 + 220 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 793282360896 + 1327829859225 = 890664^2 + 1152315^2 .

It is not a de Polignac number, because 2121112220121 - 26 = 2121112220057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121112220094 and 2121112220103.

It is not an unprimeable number, because it can be changed into a prime (2121112220221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7776216 + ... + 8044361.

It is an arithmetic number, because the mean of its divisors is an integer number (255336218631).

Almost surely, 22121112220121 is an apocalyptic number.

It is an amenable number.

2121112220121 is a deficient number, since it is larger than the sum of its proper divisors (942922403451).

2121112220121 is a wasteful number, since it uses less digits than its factorization.

2121112220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15835480 (or 15835477 counting only the distinct ones).

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

Adding to 2121112220121 its reverse (1210222111212), we get a palindrome (3331334331333).

The spelling of 2121112220121 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 14897 44691 134073 15820577 47461731 142385193 235679135569 707037406707 2121112220121