110101121211201 has 16 divisors (see below), whose sum is σ = 146881094162880. Its totient is φ = 73360950505920.

The previous prime is 110101121211187. The next prime is 110101121211233. The reversal of 110101121211201 is 102112121101011.

It is not a de Polignac number, because 110101121211201 - 2¹⁰ = 110101121210177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110101121211281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174953415 + ... + 175581603.

It is an arithmetic number, because the mean of its divisors is an integer number (9180068385180).

Almost surely, 2^{110101121211201} is an apocalyptic number.

It is an amenable number.

110101121211201 is a deficient number, since it is larger than the sum of its proper divisors (36779972951679).

110101121211201 is a wasteful number, since it uses less digits than its factorization.

110101121211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659776.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110101121211201 its reverse (102112121101011), we get a palindrome (212213242312212).

The spelling of 110101121211201 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred one".