121113121001121 has 24 divisors (see below), whose sum is σ = 176551898625960. Its totient is φ = 79998717989376.

The previous prime is 121113121001111. The next prime is 121113121001189. The reversal of 121113121001121 is 121100121311121.

121113121001121 is a `hidden beast` number, since 1 + 211 + 131 + 210 + 0 + 112 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58730151873600 + 62382969127521 = 7663560^2 + 7898289^2 .

It is not a de Polignac number, because 121113121001121 - 2⁶ = 121113121001057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121113121001094 and 121113121001103.

It is not an unprimeable number, because it can be changed into a prime (121113121001111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28307865 + ... + 32304201.

It is an arithmetic number, because the mean of its divisors is an integer number (7356329109415).

Almost surely, 2^{121113121001121} is an apocalyptic number.

It is an amenable number.

121113121001121 is a deficient number, since it is larger than the sum of its proper divisors (55438777624839).

121113121001121 is a wasteful number, since it uses less digits than its factorization.

121113121001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027345 (or 4027342 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 121113121001121 its reverse (121100121311121), we get a palindrome (242213242312242).

The spelling of 121113121001121 in words is "one hundred twenty-one trillion, one hundred thirteen billion, one hundred twenty-one million, one thousand, one hundred twenty-one".