201211121313300 has 144 divisors (see below), whose sum is σ = 670576991436800. Its totient is φ = 45628978631040.

The previous prime is 201211121313239. The next prime is 201211121313313. The reversal of 201211121313300 is 3313121112102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376957000 + ... + 377490399.

Almost surely, 2^{201211121313300} is an apocalyptic number.

201211121313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211121313300 is an abundant number, since it is smaller than the sum of its proper divisors (469365870123500).

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

201211121313300 is a wasteful number, since it uses less digits than its factorization.

201211121313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754447550 (or 754447543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 201211121313300 its reverse (3313121112102), we get a palindrome (204524242425402).

The spelling of 201211121313300 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred".