201100240000 has 160 divisors (see below), whose sum is σ = 546140366640. Its totient is φ = 73127040000.

The previous prime is 201100239917. The next prime is 201100240043. The reversal of 201100240000 is 42001102.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 765739 + ... + 994261.

Almost surely, 2^201100240000 is an apocalyptic number.

201100240000 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 201100240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273070183320).

201100240000 is an abundant number, since it is smaller than the sum of its proper divisors (345040126640).

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

201100240000 is an equidigital number, since it uses as much as digits as its factorization.

201100240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228568 (or 228541 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201100240000 its reverse (42001102), we get a palindrome (201142241102).

The spelling of 201100240000 in words is "two hundred one billion, one hundred million, two hundred forty thousand".