203121104414100 has 144 divisors (see below), whose sum is σ = 589360746164736. Its totient is φ = 54012409920000.

The previous prime is 203121104414027. The next prime is 203121104414153. The reversal of 203121104414100 is 1414401121302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278379750 + ... + 279108450.

Almost surely, 2^{203121104414100} is an apocalyptic number.

203121104414100 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 203121104414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294680373082368).

203121104414100 is an abundant number, since it is smaller than the sum of its proper divisors (386239641750636).

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

203121104414100 is a wasteful number, since it uses less digits than its factorization.

203121104414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731346 (or 731339 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 203121104414100 its reverse (1414401121302), we get a palindrome (204535505535402).

The spelling of 203121104414100 in words is "two hundred three trillion, one hundred twenty-one billion, one hundred four million, four hundred fourteen thousand, one hundred".