103331221400 has 192 divisors, whose sum is σ = 276201964800. Its totient is φ = 35583680000.

The previous prime is 103331221393. The next prime is 103331221459. The reversal of 103331221400 is 4122133301.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5100491 + ... + 5120709.

It is an arithmetic number, because the mean of its divisors is an integer number (1438551900).

Almost surely, 2^103331221400 is an apocalyptic number.

103331221400 is a gapful number since it is divisible by the number (10) 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 103331221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138100982400).

103331221400 is an abundant number, since it is smaller than the sum of its proper divisors (172870743400).

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

103331221400 is a wasteful number, since it uses less digits than its factorization.

103331221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20370 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103331221400 its reverse (4122133301), we get a palindrome (107453354701).

The spelling of 103331221400 in words is "one hundred three billion, three hundred thirty-one million, two hundred twenty-one thousand, four hundred".