121000242000121 has 27 divisors (see below), whose sum is σ = 134343706981197. Its totient is φ = 108900108900000.

The previous prime is 121000242000059. The next prime is 121000242000151.

The square root of 121000242000121 is 11000011.

It is a perfect power (a square), and thus also a powerful number.

121000242000121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 102592366606521 + 18407875393600 = 10128789^2 + 4290440^2 .

It is not a de Polignac number, because 121000242000121 - 2³⁵ = 120965882261753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121000242000095 and 121000242000104.

It is not an unprimeable number, because it can be changed into a prime (121000242000151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12221007271 + ... + 12221017171.

Almost surely, 2^{121000242000121} is an apocalyptic number.

121000242000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121000242000121 is the 11000011-st square number.

121000242000121 is the 5500006-th centered octagonal number.

It is an amenable number.

121000242000121 is a deficient number, since it is larger than the sum of its proper divisors (13343464981076).

121000242000121 is an frugal number, since it uses more digits than its factorization.

121000242000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 121000242000121 in words is "one hundred twenty-one trillion, two hundred forty-two million, one hundred twenty-one", and thus it is an aban number.