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1001121212011 is a prime number
BaseRepresentation
bin11101001000101110111…
…10010110011001101011
310112201001212011220012211
432210113132112121223
5112400244012241021
62043524141545551
7132220500616504
oct16442736263153
93481055156184
101001121212011
11356633909098
121420355752b7
13735366654bb
1436651307bab
151b094ddc3e1
hexe91779666b

1001121212011 has 2 divisors, whose sum is σ = 1001121212012. Its totient is φ = 1001121212010.

The previous prime is 1001121212009. The next prime is 1001121212107. The reversal of 1001121212011 is 1102121211001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1001121212011 - 21 = 1001121212009 is a prime.

It is a super-2 number, since 2×10011212120112 (a number of 25 digits) contains 22 as substring.

Together with 1001121212009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1001121211982 and 1001121212000.

It is not a weakly prime, because it can be changed into another prime (1001121212711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560606005 + 500560606006.

It is an arithmetic number, because the mean of its divisors is an integer number (500560606006).

Almost surely, 21001121212011 is an apocalyptic number.

1001121212011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121212011 is an equidigital number, since it uses as much as digits as its factorization.

1001121212011 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 1001121212011 its reverse (1102121211001), we get a palindrome (2103242423012).

The spelling of 1001121212011 in words is "one trillion, one billion, one hundred twenty-one million, two hundred twelve thousand, eleven".