110101201121101 has 2 divisors, whose sum is σ = 110101201121102. Its totient is φ = 110101201121100.

The previous prime is 110101201120997. The next prime is 110101201121113. The reversal of 110101201121101 is 101121102101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77981721687076 + 32119479434025 = 8830726^2 + 5667405^2 .

It is an emirp because it is prime and its reverse (101121102101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110101201121101 - 2¹¹ = 110101201119053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101201121501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050600560550 + 55050600560551.

It is an arithmetic number, because the mean of its divisors is an integer number (55050600560551).

Almost surely, 2^{110101201121101} is an apocalyptic number.

It is an amenable number.

110101201121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101201121101 is an equidigital number, since it uses as much as digits as its factorization.

110101201121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110101201121101 its reverse (101121102101011), we get a palindrome (211222303222112).

The spelling of 110101201121101 in words is "one hundred ten trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand, one hundred one".