12112210120101 has 128 divisors (see below), whose sum is σ = 21139832964096. Its totient is φ = 5998901575680.

The previous prime is 12112210119931. The next prime is 12112210120139. The reversal of 12112210120101 is 10102101221121.

It is a happy number.

It is not a de Polignac number, because 12112210120101 - 2¹³ = 12112210111909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112210130101) 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 127 ways as a sum of consecutive naturals, for example, 32471085 + ... + 32841981.

It is an arithmetic number, because the mean of its divisors is an integer number (165154945032).

Almost surely, 2^{12112210120101} is an apocalyptic number.

It is an amenable number.

12112210120101 is a deficient number, since it is larger than the sum of its proper divisors (9027622843995).

12112210120101 is a wasteful number, since it uses less digits than its factorization.

12112210120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371071.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12112210120101 its reverse (10102101221121), we get a palindrome (22214311341222).

The spelling of 12112210120101 in words is "twelve trillion, one hundred twelve billion, two hundred ten million, one hundred twenty thousand, one hundred one".