12012001020100 has 72 divisors (see below), whose sum is σ = 27611057544840. Its totient is φ = 4520244971520.

The previous prime is 12012001020059. The next prime is 12012001020109. The reversal of 12012001020100 is 102010021021.

It can be written as a sum of positive squares in 12 ways, for example, as 5222943461376 + 6789057558724 = 2285376^2 + 2605582^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12012001020109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2507986 + ... + 5505814.

It is an arithmetic number, because the mean of its divisors is an integer number (383486910345).

Almost surely, 2^{12012001020100} is an apocalyptic number.

12012001020100 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 12012001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805528772420).

12012001020100 is an abundant number, since it is smaller than the sum of its proper divisors (15599056524740).

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

12012001020100 is a wasteful number, since it uses less digits than its factorization.

12012001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000217 (or 3000210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12012001020100 its reverse (102010021021), we get a palindrome (12114011041121).

The spelling of 12012001020100 in words is "twelve trillion, twelve billion, one million, twenty thousand, one hundred".