110101011011121 has 32 divisors (see below), whose sum is σ = 158787684679680. Its totient is φ = 67457187653184.

The previous prime is 110101011011083. The next prime is 110101011011179. The reversal of 110101011011121 is 121110110101011.

It is not a de Polignac number, because 110101011011121 - 2⁹ = 110101011010609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101011011097 and 110101011011106.

It is not an unprimeable number, because it can be changed into a prime (110101011011191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44496280 + ... + 46905446.

It is an arithmetic number, because the mean of its divisors is an integer number (4962115146240).

Almost surely, 2^{110101011011121} is an apocalyptic number.

It is an amenable number.

110101011011121 is a deficient number, since it is larger than the sum of its proper divisors (48686673668559).

110101011011121 is a wasteful number, since it uses less digits than its factorization.

110101011011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414325.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110101011011121 its reverse (121110110101011), we get a palindrome (231211121112132).

The spelling of 110101011011121 in words is "one hundred ten trillion, one hundred one billion, eleven million, eleven thousand, one hundred twenty-one".