110120121221121 has 48 divisors (see below), whose sum is σ = 179510059872000. Its totient is φ = 64436704254720.

The previous prime is 110120121221059. The next prime is 110120121221153. The reversal of 110120121221121 is 121122121021011.

It is a happy number.

110120121221121 is a `hidden beast` number, since 1 + 101 + 201 + 21 + 221 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-110120121221121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110120121221094 and 110120121221103.

It is not an unprimeable number, because it can be changed into a prime (110120121221171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139737720 + ... + 140523558.

It is an arithmetic number, because the mean of its divisors is an integer number (3739792914000).

Almost surely, 2^{110120121221121} is an apocalyptic number.

110120121221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110120121221121 is a deficient number, since it is larger than the sum of its proper divisors (69389938650879).

110120121221121 is a wasteful number, since it uses less digits than its factorization.

110120121221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834694 (or 834691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110120121221121 its reverse (121122121021011), we get a palindrome (231242242242132).

It can be divided in two parts, 1101201 and 21221121, that added together give a palindrome (22322322).

The spelling of 110120121221121 in words is "one hundred ten trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".