12101123100330 has 192 divisors, whose sum is σ = 35258052480768. Its totient is φ = 2853734906880.

The previous prime is 12101123100317. The next prime is 12101123100331. The reversal of 12101123100330 is 3300132110121.

12101123100330 is a `hidden beast` number, since 1 + 2 + 10 + 1 + 12 + 310 + 0 + 330 = 666.

It is a super-2 number, since 2×12101123100330² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12101123100331) 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, 194217742 + ... + 194280038.

It is an arithmetic number, because the mean of its divisors is an integer number (183635690004).

Almost surely, 2^{12101123100330} is an apocalyptic number.

12101123100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101123100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629026240384).

12101123100330 is an abundant number, since it is smaller than the sum of its proper divisors (23156929380438).

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

12101123100330 is a wasteful number, since it uses less digits than its factorization.

12101123100330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67661 (or 67658 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12101123100330 its reverse (3300132110121), we get a palindrome (15401255210451).

The spelling of 12101123100330 in words is "twelve trillion, one hundred one billion, one hundred twenty-three million, one hundred thousand, three hundred thirty".