12101011010121 has 16 divisors (see below), whose sum is σ = 17602058462400. Its totient is φ = 7333701107520.

The previous prime is 12101011010111. The next prime is 12101011010129.

12101011010121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12101011010121 - 2¹⁵ = 12101010977353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101011010097 and 12101011010106.

It is not an unprimeable number, because it can be changed into a prime (12101011010129) 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, 5118546 + ... + 7099403.

It is an arithmetic number, because the mean of its divisors is an integer number (1100128653900).

Almost surely, 2^{12101011010121} is an apocalyptic number.

12101011010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101011010121 is a deficient number, since it is larger than the sum of its proper divisors (5501047452279).

12101011010121 is a wasteful number, since it uses less digits than its factorization.

12101011010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247976.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1210101 and 1010121, that multiplied together give a palindrome (1222348432221).

The spelling of 12101011010121 in words is "twelve trillion, one hundred one billion, eleven million, ten thousand, one hundred twenty-one".