12210001100121 has 96 divisors (see below), whose sum is σ = 19135114524288. Its totient is φ = 6909217920000.

The previous prime is 12210001100119. The next prime is 12210001100159. The reversal of 12210001100121 is 12100110001221.

It is not a de Polignac number, because 12210001100121 - 2¹ = 12210001100119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210001100097 and 12210001100106.

It is not an unprimeable number, because it can be changed into a prime (12210001101121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33409186 + ... + 33772676.

It is an arithmetic number, because the mean of its divisors is an integer number (199324109628).

Almost surely, 2^{12210001100121} is an apocalyptic number.

12210001100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210001100121 is a deficient number, since it is larger than the sum of its proper divisors (6925113424167).

12210001100121 is a wasteful number, since it uses less digits than its factorization.

12210001100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363655 (or 363644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12210001100121 its reverse (12100110001221), we get a palindrome (24310111101342).

It can be divided in two parts, 12210001100 and 121, that added together give a palindrome (12210001221).

The spelling of 12210001100121 in words is "twelve trillion, two hundred ten billion, one million, one hundred thousand, one hundred twenty-one".