110300135121 has 48 divisors (see below), whose sum is σ = 179686785408. Its totient is φ = 64610784000.

The previous prime is 110300135119. The next prime is 110300135123. The reversal of 110300135121 is 121531003011.

110300135121 is a `hidden beast` number, since 1 + 10 + 300 + 1 + 351 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (110300135119) and next prime (110300135123).

It is not a de Polignac number, because 110300135121 - 2¹ = 110300135119 is a prime.

It is a super-2 number, since 2×110300135121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110300135094 and 110300135103.

It is not an unprimeable number, because it can be changed into a prime (110300135123) 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, 453405 + ... + 652821.

It is an arithmetic number, because the mean of its divisors is an integer number (3743474696).

Almost surely, 2^110300135121 is an apocalyptic number.

110300135121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110300135121 is a deficient number, since it is larger than the sum of its proper divisors (69386650287).

110300135121 is a wasteful number, since it uses less digits than its factorization.

110300135121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199622 (or 199619 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 110300135121 its reverse (121531003011), we get a palindrome (231831138132).

The spelling of 110300135121 in words is "one hundred ten billion, three hundred million, one hundred thirty-five thousand, one hundred twenty-one".