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111222121001 is a prime number
BaseRepresentation
bin110011110010101011…
…0101110001000101001
3101122002021001011012212
41213211112232020221
53310240330333001
6123032244014505
711015121300305
oct1474526561051
9348067034185
10111222121001
1143194a95772
1219680091435
13a646768024
145551630d05
152d5e5527bb
hex19e55ae229

111222121001 has 2 divisors, whose sum is σ = 111222121002. Its totient is φ = 111222121000.

The previous prime is 111222120991. The next prime is 111222121013. The reversal of 111222121001 is 100121222111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88759305625 + 22462815376 = 297925^2 + 149876^2 .

It is a cyclic number.

It is not a de Polignac number, because 111222121001 - 218 = 111221858857 is a prime.

It is a super-2 number, since 2×1112221210012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111222121081) 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, 55611060500 + 55611060501.

It is an arithmetic number, because the mean of its divisors is an integer number (55611060501).

Almost surely, 2111222121001 is an apocalyptic number.

It is an amenable number.

111222121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111222121001 is an equidigital number, since it uses as much as digits as its factorization.

111222121001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 111222121001 its reverse (100121222111), we get a palindrome (211343343112).

The spelling of 111222121001 in words is "one hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, one".