12020110202100 has 1152 divisors, whose sum is σ = 48436563861504. Its totient is φ = 2220825600000.

The previous prime is 12020110202057. The next prime is 12020110202141. The reversal of 12020110202100 is 120201102021.

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1122215745 + ... + 1122226455.

It is an arithmetic number, because the mean of its divisors is an integer number (42045628352).

Almost surely, 2^{12020110202100} is an apocalyptic number.

12020110202100 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 12020110202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218281930752).

12020110202100 is an abundant number, since it is smaller than the sum of its proper divisors (36416453659404).

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

12020110202100 is a wasteful number, since it uses less digits than its factorization.

12020110202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020110202100 its reverse (120201102021), we get a palindrome (12140311304121).

12020110202100 divided by its reverse (120201102021) gives a square (100 = 10²).

It can be divided in two parts, 120201 and 10202100, that added together give a palindrome (10322301).

The spelling of 12020110202100 in words is "twelve trillion, twenty billion, one hundred ten million, two hundred two thousand, one hundred".