12210100221121 has 16 divisors (see below), whose sum is σ = 13521981017088. Its totient is φ = 10932194904400.

The previous prime is 12210100221107. The next prime is 12210100221287. The reversal of 12210100221121 is 12112200101221.

It is not a de Polignac number, because 12210100221121 - 2⁷ = 12210100220993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210100221095 and 12210100221104.

It is not an unprimeable number, because it can be changed into a prime (12210100221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7514845 + ... + 8994058.

It is an arithmetic number, because the mean of its divisors is an integer number (845123813568).

Almost surely, 2^{12210100221121} is an apocalyptic number.

12210100221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210100221121 is a deficient number, since it is larger than the sum of its proper divisors (1311880795967).

12210100221121 is a wasteful number, since it uses less digits than its factorization.

12210100221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509932.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12210100221121 its reverse (12112200101221), we get a palindrome (24322300322342).

The spelling of 12210100221121 in words is "twelve trillion, two hundred ten billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-one".