110101000100921 has 2 divisors, whose sum is σ = 110101000100922. Its totient is φ = 110101000100920.

The previous prime is 110101000100879. The next prime is 110101000101007. The reversal of 110101000100921 is 129001000101011.

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., 72677671014400 + 37423329086521 = 8525120^2 + 6117461^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101000100921 - 2⁴⁶ = 39732255923257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110101000100921.

It is not a weakly prime, because it can be changed into another prime (110101000100621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050500050460 + 55050500050461.

It is an arithmetic number, because the mean of its divisors is an integer number (55050500050461).

Almost surely, 2^{110101000100921} is an apocalyptic number.

It is an amenable number.

110101000100921 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101000100921 is an equidigital number, since it uses as much as digits as its factorization.

110101000100921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 110101000100921 its reverse (129001000101011), we get a palindrome (239102000201932).

The spelling of 110101000100921 in words is "one hundred ten trillion, one hundred one billion, one hundred thousand, nine hundred twenty-one".