12112102101000 has 512 divisors, whose sum is σ = 42672312483840. Its totient is φ = 2833718400000.

The previous prime is 12112102100981. The next prime is 12112102101007. The reversal of 12112102101000 is 10120121121.

It is a super-2 number, since 2×12112102101000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12112102101007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375424870 + ... + 375457130.

It is an arithmetic number, because the mean of its divisors is an integer number (83344360320).

Almost surely, 2^{12112102101000} is an apocalyptic number.

12112102101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112102101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336156241920).

12112102101000 is an abundant number, since it is smaller than the sum of its proper divisors (30560210382840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12112102101000 is a wasteful number, since it uses less digits than its factorization.

12112102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32694 (or 32680 counting only the distinct ones).

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

Adding to 12112102101000 its reverse (10120121121), we get a palindrome (12122222222121).

The spelling of 12112102101000 in words is "twelve trillion, one hundred twelve billion, one hundred two million, one hundred one thousand".