12112102101 has 32 divisors (see below), whose sum is σ = 18236030976. Its totient is φ = 7084296000.

The previous prime is 12112102069. The next prime is 12112102133. The reversal of 12112102101 is 10120121121.

It is an interprime number because it is at equal distance from previous prime (12112102069) and next prime (12112102133).

It is not a de Polignac number, because 12112102101 - 2⁵ = 12112102069 is a prime.

It is a super-2 number, since 2×12112102101² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112102901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359311 + ... + 391571.

It is an arithmetic number, because the mean of its divisors is an integer number (569875968).

Almost surely, 2^12112102101 is an apocalyptic number.

12112102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112102101 is a deficient number, since it is larger than the sum of its proper divisors (6123928875).

12112102101 is a wasteful number, since it uses less digits than its factorization.

12112102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32673.

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

Adding to 12112102101 its reverse (10120121121), we get a palindrome (22232223222).

The spelling of 12112102101 in words is "twelve billion, one hundred twelve million, one hundred two thousand, one hundred one".