201100424333200 has 480 divisors, whose sum is σ = 586800391656960. Its totient is φ = 64754513510400.

The previous prime is 201100424333153. The next prime is 201100424333239. The reversal of 201100424333200 is 2333424001102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15722018805 + ... + 15722031595.

It is an arithmetic number, because the mean of its divisors is an integer number (1222500815952).

Almost surely, 2^{201100424333200} is an apocalyptic number.

201100424333200 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 201100424333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293400195828480).

201100424333200 is an abundant number, since it is smaller than the sum of its proper divisors (385699967323760).

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

201100424333200 is a wasteful number, since it uses less digits than its factorization.

201100424333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18115 (or 18104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 201100424333200 its reverse (2333424001102), we get a palindrome (203433848334302).

The spelling of 201100424333200 in words is "two hundred one trillion, one hundred billion, four hundred twenty-four million, three hundred thirty-three thousand, two hundred".