12032121110100 has 432 divisors, whose sum is σ = 43113611302272. Its totient is φ = 2536789432320.

The previous prime is 12032121110083. The next prime is 12032121110131. The reversal of 12032121110100 is 101112123021.

It is a super-2 number, since 2×12032121110100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12032121110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 515658034 + ... + 515681366.

Almost surely, 2^{12032121110100} is an apocalyptic number.

12032121110100 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 12032121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21556805651136).

12032121110100 is an abundant number, since it is smaller than the sum of its proper divisors (31081490192172).

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

12032121110100 is a wasteful number, since it uses less digits than its factorization.

12032121110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24836 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12032121110100 its reverse (101112123021), we get a palindrome (12133233233121).

The spelling of 12032121110100 in words is "twelve trillion, thirty-two billion, one hundred twenty-one million, one hundred ten thousand, one hundred".