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121221020122101 = 3213469002235789
BaseRepresentation
bin11011100011111111110111…
…110101111111101111110101
3120220012121122022112222121200
4123203333313311333233311
5111342041122122401401
61105452100131403113
734350633612033054
oct3343776765775765
9526177568488550
10121221020122101
11356966006a7139
1211719542453499
135284129853343
1421d11b314839b
15e03384915686
hex6e3ff7d7fbf5

121221020122101 has 6 divisors (see below), whose sum is σ = 175097029065270. Its totient is φ = 80814013414728.

The previous prime is 121221020122057. The next prime is 121221020122127. The reversal of 121221020122101 is 101221020122121.

121221020122101 is a `hidden beast` number, since 1 + 21 + 221 + 0 + 201 + 221 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118229414022225 + 2991606099876 = 10873335^2 + 1729626^2 .

It is not a de Polignac number, because 121221020122101 - 29 = 121221020121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221020122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6734501117886 + ... + 6734501117903.

It is an arithmetic number, because the mean of its divisors is an integer number (29182838177545).

Almost surely, 2121221020122101 is an apocalyptic number.

It is an amenable number.

121221020122101 is a deficient number, since it is larger than the sum of its proper divisors (53876008943169).

121221020122101 is a wasteful number, since it uses less digits than its factorization.

121221020122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469002235795 (or 13469002235792 counting only the distinct ones).

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

Adding to 121221020122101 its reverse (101221020122121), we get a palindrome (222442040244222).

It can be divided in two parts, 121221020 and 122101, that added together give a palindrome (121343121).

The spelling of 121221020122101 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 13469002235789 40407006707367 121221020122101