12100201020 has 144 divisors (see below), whose sum is σ = 37784597760. Its totient is φ = 3132131328.

The previous prime is 12100200997. The next prime is 12100201033. The reversal of 12100201020 is 2010200121.

12100201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12100200993 and 12100201011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3188244 + ... + 3192036.

It is an arithmetic number, because the mean of its divisors is an integer number (262393040).

Almost surely, 2^12100201020 is an apocalyptic number.

12100201020 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 12100201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892298880).

12100201020 is an abundant number, since it is smaller than the sum of its proper divisors (25684396740).

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

12100201020 is a wasteful number, since it uses less digits than its factorization.

12100201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100201020 its reverse (2010200121), we get a palindrome (14110401141).

The spelling of 12100201020 in words is "twelve billion, one hundred million, two hundred one thousand, twenty".