121112202211121 has 32 divisors (see below), whose sum is σ = 136303325130240. Its totient is φ = 107571831293520.

The previous prime is 121112202211093. The next prime is 121112202211141.

It is a happy number.

121112202211121 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-121112202211121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121112202211093 and 121112202211102.

It is not an unprimeable number, because it can be changed into a prime (121112202211141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8069366 + ... + 17531088.

It is an arithmetic number, because the mean of its divisors is an integer number (4259478910320).

Almost surely, 2^{121112202211121} is an apocalyptic number.

121112202211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121112202211121 is a deficient number, since it is larger than the sum of its proper divisors (15191122919119).

121112202211121 is an equidigital number, since it uses as much as digits as its factorization.

121112202211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9461978 (or 9461956 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 12111220 and 2211121, that added together give a palindrome (14322341).

The spelling of 121112202211121 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, one hundred twenty-one".