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121221100121 = 1147827283519
BaseRepresentation
bin111000011100101010…
…1110011001001011001
3102120220002212220221212
41300321111303021121
53441230100200441
6131404352512505
711520654231032
oct1607125631131
9376802786855
10121221100121
1147456172780
121b5b084b735
13b57b188914
145c1d5a9a89
1532472aceeb
hex1c39573259

121221100121 has 16 divisors (see below), whose sum is σ = 135218626560. Its totient is φ = 107725499280.

The previous prime is 121221100109. The next prime is 121221100123. The reversal of 121221100121 is 121001122121.

It is a cyclic number.

It is not a de Polignac number, because 121221100121 - 218 = 121220837977 is a prime.

It is a super-2 number, since 2×1212211001212 (a number of 23 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 = 121221100096 and 121221100105.

It is not an unprimeable number, because it can be changed into a prime (121221100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285800 + ... + 569318.

It is an arithmetic number, because the mean of its divisors is an integer number (8451164160).

Almost surely, 2121221100121 is an apocalyptic number.

121221100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121221100121 is a deficient number, since it is larger than the sum of its proper divisors (13997526439).

121221100121 is a wasteful number, since it uses less digits than its factorization.

121221100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284404.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121221100121 its reverse (121001122121), we get a palindrome (242222222242).

The spelling of 121221100121 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-one".

Divisors: 1 11 47 517 827 9097 38869 283519 427559 3118709 13325393 146579323 234470213 2579172343 11020100011 121221100121