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1100113121021 is a prime number
BaseRepresentation
bin10000000000100011110…
…110100000111011111101
310220011120202220220121012
4100000203312200323331
5121011012424333041
62201215054045005
7142323554145305
oct20004366407375
93804522826535
101100113121021
113946121a4542
121592617a9765
137c9813640a5
143b362512605
151d93a8983eb
hex10023da0efd

1100113121021 has 2 divisors, whose sum is σ = 1100113121022. Its totient is φ = 1100113121020.

The previous prime is 1100113120999. The next prime is 1100113121057. The reversal of 1100113121021 is 1201213110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 770936680900 + 329176440121 = 878030^2 + 573739^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100113121021 - 238 = 825235214077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100113120987 and 1100113121005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100113121321) 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, 550056560510 + 550056560511.

It is an arithmetic number, because the mean of its divisors is an integer number (550056560511).

Almost surely, 21100113121021 is an apocalyptic number.

It is an amenable number.

1100113121021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100113121021 is an equidigital number, since it uses as much as digits as its factorization.

1100113121021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1100113121021 its reverse (1201213110011), we get a palindrome (2301326231032).

The spelling of 1100113121021 in words is "one trillion, one hundred billion, one hundred thirteen million, one hundred twenty-one thousand, twenty-one".