110010000121001 has 2 divisors, whose sum is σ = 110010000121002. Its totient is φ = 110010000121000.

The previous prime is 110010000120953. The next prime is 110010000121031. The reversal of 110010000121001 is 100121000010011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77051791747225 + 32958208373776 = 8777915^2 + 5740924^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010000121001 - 2³⁴ = 109992820251817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010000121001.

It is not a weakly prime, because it can be changed into another prime (110010000121031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005000060500 + 55005000060501.

It is an arithmetic number, because the mean of its divisors is an integer number (55005000060501).

Almost surely, 2^{110010000121001} is an apocalyptic number.

It is an amenable number.

110010000121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010000121001 is an equidigital number, since it uses as much as digits as its factorization.

110010000121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110010000121001 its reverse (100121000010011), we get a palindrome (210131000131012).

The spelling of 110010000121001 in words is "one hundred ten trillion, ten billion, one hundred twenty-one thousand, one".