110120012121121 has 8 divisors (see below), whose sum is σ = 112198615986600. Its totient is φ = 108041440396032.

The previous prime is 110120012121113. The next prime is 110120012121137. The reversal of 110120012121121 is 121121210021011.

It can be written as a sum of positive squares in 4 ways, for example, as 34678436545600 + 75441575575521 = 5888840^2 + 8685711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110120012121121 - 2³ = 110120012121113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110120012121095 and 110120012121104.

It is not an unprimeable number, because it can be changed into a prime (110120012125121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061400 + ... + 14878393.

It is an arithmetic number, because the mean of its divisors is an integer number (14024826998325).

Almost surely, 2^{110120012121121} is an apocalyptic number.

It is an amenable number.

110120012121121 is a deficient number, since it is larger than the sum of its proper divisors (2078603865479).

110120012121121 is a wasteful number, since it uses less digits than its factorization.

110120012121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16070195.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110120012121121 its reverse (121121210021011), we get a palindrome (231241222142132).

The spelling of 110120012121121 in words is "one hundred ten trillion, one hundred twenty billion, twelve million, one hundred twenty-one thousand, one hundred twenty-one".