201100021100000 has 144 divisors (see below), whose sum is σ = 539850450141072. Its totient is φ = 73127280000000.

The previous prime is 201100021099981. The next prime is 201100021100039. The reversal of 201100021100000 is 1120001102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90309101 + ... + 92509100.

It is an arithmetic number, because the mean of its divisors is an integer number (3748961459313).

Almost surely, 2^{201100021100000} is an apocalyptic number.

201100021100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100021100000 is an abundant number, since it is smaller than the sum of its proper divisors (338750429041072).

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

201100021100000 is an equidigital number, since it uses as much as digits as its factorization.

201100021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182818247 (or 182818219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201100021100000 its reverse (1120001102), we get a palindrome (201101141101102).

The spelling of 201100021100000 in words is "two hundred one trillion, one hundred billion, twenty-one million, one hundred thousand".