203020011332100 has 432 divisors, whose sum is σ = 661867002800640. Its totient is φ = 52008338304000.

The previous prime is 203020011332087. The next prime is 203020011332153. The reversal of 203020011332100 is 1233110020302.

203020011332100 is a `hidden beast` number, since 2 + 0 + 30 + 200 + 1 + 1 + 332 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 1207340629 + ... + 1207508771.

It is an arithmetic number, because the mean of its divisors is an integer number (1532099543520).

Almost surely, 2^{203020011332100} is an apocalyptic number.

203020011332100 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 203020011332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330933501400320).

203020011332100 is an abundant number, since it is smaller than the sum of its proper divisors (458846991468540).

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

203020011332100 is a wasteful number, since it uses less digits than its factorization.

203020011332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168660 (or 168650 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203020011332100 its reverse (1233110020302), we get a palindrome (204253121352402).

The spelling of 203020011332100 in words is "two hundred three trillion, twenty billion, eleven million, three hundred thirty-two thousand, one hundred".