203211121100100 has 144 divisors (see below), whose sum is σ = 597632131345536. Its totient is φ = 53298069120000.

The previous prime is 203211121100089. The next prime is 203211121100149. The reversal of 203211121100100 is 1001121112302.

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 203211121100100.

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, 311634400 + ... + 312285800.

It is an arithmetic number, because the mean of its divisors is an integer number (4150223134344).

Almost surely, 2^{203211121100100} is an apocalyptic number.

203211121100100 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 203211121100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298816065672768).

203211121100100 is an abundant number, since it is smaller than the sum of its proper divisors (394421010245436).

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

203211121100100 is a wasteful number, since it uses less digits than its factorization.

203211121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668526 (or 668519 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 203211121100100 its reverse (1001121112302), we get a palindrome (204212242212402).

The spelling of 203211121100100 in words is "two hundred three trillion, two hundred eleven billion, one hundred twenty-one million, one hundred thousand, one hundred".