103021331100 has 288 divisors, whose sum is σ = 330286735296. Its totient is φ = 24680448000.

The previous prime is 103021331093. The next prime is 103021331191. The reversal of 103021331100 is 1133120301.

103021331100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103021331100² (a number of 23 digits) contains 22 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 103021331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9995950 + ... + 10006250.

It is an arithmetic number, because the mean of its divisors is an integer number (1146828942).

Almost surely, 2^103021331100 is an apocalyptic number.

103021331100 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 103021331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165143367648).

103021331100 is an abundant number, since it is smaller than the sum of its proper divisors (227265404196).

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

103021331100 is a wasteful number, since it uses less digits than its factorization.

103021331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10425 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103021331100 its reverse (1133120301), we get a palindrome (104154451401).

The spelling of 103021331100 in words is "one hundred three billion, twenty-one million, three hundred thirty-one thousand, one hundred".