110101121001101 has 2 divisors, whose sum is σ = 110101121001102. Its totient is φ = 110101121001100.

The previous prime is 110101121001089. The next prime is 110101121001149. The reversal of 110101121001101 is 101100121101011.

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., 110091507002500 + 9613998601 = 10492450^2 + 98051^2 .

It is an emirp because it is prime and its reverse (101100121101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110101121001101 - 2⁴⁶ = 39732376823437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101121051101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050560500550 + 55050560500551.

It is an arithmetic number, because the mean of its divisors is an integer number (55050560500551).

Almost surely, 2^{110101121001101} is an apocalyptic number.

It is an amenable number.

110101121001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101121001101 is an equidigital number, since it uses as much as digits as its factorization.

110101121001101 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 11.

Adding to 110101121001101 its reverse (101100121101011), we get a palindrome (211201242102112).

The spelling of 110101121001101 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-one million, one thousand, one hundred one".