12001010121100 has 576 divisors, whose sum is σ = 35888103014400. Its totient is φ = 3432636748800.

The previous prime is 12001010121083. The next prime is 12001010121109. The reversal of 12001010121100 is 112101010021.

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 (12001010121109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 848540629 + ... + 848554771.

It is an arithmetic number, because the mean of its divisors is an integer number (62305734400).

Almost surely, 2^{12001010121100} is an apocalyptic number.

12001010121100 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 12001010121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944051507200).

12001010121100 is an abundant number, since it is smaller than the sum of its proper divisors (23887092893300).

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

12001010121100 is a wasteful number, since it uses less digits than its factorization.

12001010121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14375 (or 14354 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12001010121100 its reverse (112101010021), we get a palindrome (12113111131121).

The spelling of 12001010121100 in words is "twelve trillion, one billion, ten million, one hundred twenty-one thousand, one hundred".