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111221001121 is a prime number
BaseRepresentation
bin110011110010101001…
…0011100101110100001
3101122002011221021000211
41213211102130232201
53310240034013441
6123032204014121
711015105624326
oct1474522345641
9348064837024
10111221001121
11431943a034a
121967b831341
13a646465389
14555141cb4d
152d5e3d0a81
hex19e549cba1

111221001121 has 2 divisors, whose sum is σ = 111221001122. Its totient is φ = 111221001120.

The previous prime is 111221001109. The next prime is 111221001149. The reversal of 111221001121 is 121100122111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110266500096 + 954501025 = 332064^2 + 30895^2 .

It is a cyclic number.

It is not a de Polignac number, because 111221001121 - 231 = 109073517473 is a prime.

It is a super-2 number, since 2×1112210011212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111221002121) 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 as a sum of consecutive naturals, namely, 55610500560 + 55610500561.

It is an arithmetic number, because the mean of its divisors is an integer number (55610500561).

Almost surely, 2111221001121 is an apocalyptic number.

It is an amenable number.

111221001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111221001121 is an equidigital number, since it uses as much as digits as its factorization.

111221001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111221001121 its reverse (121100122111), we get a palindrome (232321123232).

The spelling of 111221001121 in words is "one hundred eleven billion, two hundred twenty-one million, one thousand, one hundred twenty-one".