121121000121121 has 180 divisors, whose sum is σ = 176659603758000. Its totient is φ = 82533167196480.

The previous prime is 121121000121097. The next prime is 121121000121131.

121121000121121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121121000121121 - 2⁴⁵ = 85936628032289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121121000121095 and 121121000121104.

It is not an unprimeable number, because it can be changed into a prime (121121000121131) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2303574010 + ... + 2303626588.

It is an arithmetic number, because the mean of its divisors is an integer number (981442243100).

Almost surely, 2^{121121000121121} is an apocalyptic number.

121121000121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121121000121121 is a deficient number, since it is larger than the sum of its proper divisors (55538603636879).

121121000121121 is an equidigital number, since it uses as much as digits as its factorization.

121121000121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52682 (or 52629 counting only the distinct ones).

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

It can be divided in two parts, 121121000 and 121121, that added together give a palindrome (121242121).

The spelling of 121121000121121 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one thousand, one hundred twenty-one".