121165561121 has 32 divisors (see below), whose sum is σ = 136911430656. Its totient is φ = 106275960000.

The previous prime is 121165561117. The next prime is 121165561151.

121165561121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121165561121 - 2² = 121165561117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121165561151) 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, 22307276 + ... + 22312706.

It is an arithmetic number, because the mean of its divisors is an integer number (4278482208).

Almost surely, 2^121165561121 is an apocalyptic number.

121165561121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121165561121 is a deficient number, since it is larger than the sum of its proper divisors (15745869535).

121165561121 is a wasteful number, since it uses less digits than its factorization.

121165561121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053.

The product of its digits is 3600, while the sum is 32.

It can be divided in two parts, 121165 and 561121, that added together give a palindrome (682286).

The spelling of 121165561121 in words is "one hundred twenty-one billion, one hundred sixty-five million, five hundred sixty-one thousand, one hundred twenty-one".