12021020012100 has 288 divisors, whose sum is σ = 39830530682880. Its totient is φ = 2772379584000.

The previous prime is 12021020012093. The next prime is 12021020012101. The reversal of 12021020012100 is 121002012021.

12021020012100 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 (12).

It is not an unprimeable number, because it can be changed into a prime (12021020012101) 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, 5039874 + ... + 7031526.

It is an arithmetic number, because the mean of its divisors is an integer number (138300453760).

Almost surely, 2^{12021020012100} is an apocalyptic number.

12021020012100 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 12021020012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19915265341440).

12021020012100 is an abundant number, since it is smaller than the sum of its proper divisors (27809510670780).

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

12021020012100 is a wasteful number, since it uses less digits than its factorization.

12021020012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991771 (or 1991764 counting only the distinct ones).

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

Adding to 12021020012100 its reverse (121002012021), we get a palindrome (12142022024121).

The spelling of 12021020012100 in words is "twelve trillion, twenty-one billion, twenty million, twelve thousand, one hundred".