110312121001 has 2 divisors, whose sum is σ = 110312121002. Its totient is φ = 110312121000.

The previous prime is 110312120999. The next prime is 110312121013. The reversal of 110312121001 is 100121213011.

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., 105658152601 + 4653968400 = 325051^2 + 68220^2 .

It is a cyclic number.

It is not a de Polignac number, because 110312121001 - 2¹ = 110312120999 is a prime.

Together with 110312120999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110312121091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55156060500 + 55156060501.

It is an arithmetic number, because the mean of its divisors is an integer number (55156060501).

Almost surely, 2^110312121001 is an apocalyptic number.

It is an amenable number.

110312121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110312121001 is an equidigital number, since it uses as much as digits as its factorization.

110312121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 110312121001 its reverse (100121213011), we get a palindrome (210433334012).

The spelling of 110312121001 in words is "one hundred ten billion, three hundred twelve million, one hundred twenty-one thousand, one".