103001321100 has 72 divisors (see below), whose sum is σ = 298405362640. Its totient is φ = 27431239680.

The previous prime is 103001321099. The next prime is 103001321113. The reversal of 103001321100 is 1123100301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7464 + ... + 453936.

Almost surely, 2^103001321100 is an apocalyptic number.

103001321100 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 103001321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149202681320).

103001321100 is an abundant number, since it is smaller than the sum of its proper divisors (195404041540).

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

103001321100 is a wasteful number, since it uses less digits than its factorization.

103001321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447259 (or 447252 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103001321100 its reverse (1123100301), we get a palindrome (104124421401).

The spelling of 103001321100 in words is "one hundred three billion, one million, three hundred twenty-one thousand, one hundred".