203300101022100 has 144 divisors (see below), whose sum is σ = 601412080663296. Its totient is φ = 52999654400000.

The previous prime is 203300101022087. The next prime is 203300101022111. The reversal of 203300101022100 is 1220101003302.

It is a super-3 number, since 3×203300101022100³ (a number of 44 digits) contains 333 as substring.

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 203300101022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4239100 + ... + 20605100.

It is an arithmetic number, because the mean of its divisors is an integer number (4176472782384).

Almost surely, 2^{203300101022100} is an apocalyptic number.

203300101022100 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 203300101022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300706040331648).

203300101022100 is an abundant number, since it is smaller than the sum of its proper divisors (398111979641196).

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

203300101022100 is a wasteful number, since it uses less digits than its factorization.

203300101022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16366946 (or 16366939 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 203300101022100 its reverse (1220101003302), we get a palindrome (204520202025402).

The spelling of 203300101022100 in words is "two hundred three trillion, three hundred billion, one hundred one million, twenty-two thousand, one hundred".