110101112121 has 128 divisors (see below), whose sum is σ = 204456333312. Its totient is φ = 50855040000.

The previous prime is 110101112089. The next prime is 110101112137. The reversal of 110101112121 is 121211101011.

It is not a de Polignac number, because 110101112121 - 2⁵ = 110101112089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101112097 and 110101112106.

It is not an unprimeable number, because it can be changed into a prime (110101112921) 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 in 127 ways as a sum of consecutive naturals, for example, 11217306 + ... + 11227116.

It is an arithmetic number, because the mean of its divisors is an integer number (1597315104).

Almost surely, 2^110101112121 is an apocalyptic number.

110101112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101112121 is a deficient number, since it is larger than the sum of its proper divisors (94355221191).

110101112121 is a wasteful number, since it uses less digits than its factorization.

110101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110101112121 its reverse (121211101011), we get a palindrome (231312213132).

It can be divided in two parts, 1101011 and 12121, that multiplied together give a palindrome (13345354331).

The spelling of 110101112121 in words is "one hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".