201200011331100 has 72 divisors (see below), whose sum is σ = 582969140430768. Its totient is φ = 53576798016000.

The previous prime is 201200011331069. The next prime is 201200011331129. The reversal of 201200011331100 is 1133110002102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201200011331100.

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, 478153969 + ... + 478574568.

It is an arithmetic number, because the mean of its divisors is an integer number (8096793617094).

Almost surely, 2^{201200011331100} is an apocalyptic number.

201200011331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200011331100 is an abundant number, since it is smaller than the sum of its proper divisors (381769129099668).

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

201200011331100 is a wasteful number, since it uses less digits than its factorization.

201200011331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956729255 (or 956729248 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201200011331100 its reverse (1133110002102), we get a palindrome (202333121333202).

The spelling of 201200011331100 in words is "two hundred one trillion, two hundred billion, eleven million, three hundred thirty-one thousand, one hundred".