201002102400 has 288 divisors, whose sum is σ = 727712798400. Its totient is φ = 48727500800.

The previous prime is 201002102359. The next prime is 201002102407. The reversal of 201002102400 is 4201200102.

201002102400 is digitally balanced in base 3, 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 (201002102407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1075081 + ... + 1248119.

It is an arithmetic number, because the mean of its divisors is an integer number (2526780550).

Almost surely, 2^201002102400 is an apocalyptic number.

201002102400 is a gapful number since it is divisible by the number (20) 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 201002102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363856399200).

201002102400 is an abundant number, since it is smaller than the sum of its proper divisors (526710696000).

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

201002102400 is a wasteful number, since it uses less digits than its factorization.

201002102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173088 (or 173060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201002102400 its reverse (4201200102), we get a palindrome (205203302502).

The spelling of 201002102400 in words is "two hundred one billion, two million, one hundred two thousand, four hundred".