135100121 has 8 divisors (see below), whose sum is σ = 146355720. Its totient is φ = 124705776.

The previous prime is 135100111. The next prime is 135100211. The reversal of 135100121 is 121001531.

135100121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10465225 + 124634896 = 3235^2 + 11164^2 .

It is not a de Polignac number, because 135100121 - 2¹⁴ = 135083737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135100096 and 135100105.

It is not an unprimeable number, because it can be changed into a prime (135100111) 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, 28550 + ... + 32943.

It is an arithmetic number, because the mean of its divisors is an integer number (18294465).

Almost surely, 2^135100121 is an apocalyptic number.

It is an amenable number.

135100121 is a deficient number, since it is larger than the sum of its proper divisors (11255599).

135100121 is an frugal number, since it uses more digits than its factorization.

135100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61532 (or 61506 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 135100121 is about 11623.2577619186. The cubic root of 135100121 is about 513.1195708144.

Adding to 135100121 its reverse (121001531), we get a palindrome (256101652).

The spelling of 135100121 in words is "one hundred thirty-five million, one hundred thousand, one hundred twenty-one".