12101411410121 has 16 divisors (see below), whose sum is σ = 13233559723200. Its totient is φ = 10974619656000.

The previous prime is 12101411410091. The next prime is 12101411410141.

12101411410121 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-12101411410121 is a prime.

It is a super-2 number, since 2×12101411410121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101411410093 and 12101411410102.

It is not an unprimeable number, because it can be changed into a prime (12101411410141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11704271 + ... + 12696171.

It is an arithmetic number, because the mean of its divisors is an integer number (827097482700).

Almost surely, 2^{12101411410121} is an apocalyptic number.

12101411410121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101411410121 is a deficient number, since it is larger than the sum of its proper divisors (1132148313079).

12101411410121 is a wasteful number, since it uses less digits than its factorization.

12101411410121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994600.

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

It can be divided in two parts, 1210141 and 1410121, that added together give a palindrome (2620262).

The spelling of 12101411410121 in words is "twelve trillion, one hundred one billion, four hundred eleven million, four hundred ten thousand, one hundred twenty-one".