103121020100 has 144 divisors (see below), whose sum is σ = 262766098560. Its totient is φ = 34396876800.

The previous prime is 103121020097. The next prime is 103121020169. The reversal of 103121020100 is 1020121301.

103121020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 3993230 + ... + 4018970.

Almost surely, 2^103121020100 is an apocalyptic number.

103121020100 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 103121020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131383049280).

103121020100 is an abundant number, since it is smaller than the sum of its proper divisors (159645078460).

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

103121020100 is a wasteful number, since it uses less digits than its factorization.

103121020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25918 (or 25911 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 103121020100 its reverse (1020121301), we get a palindrome (104141141401).

The spelling of 103121020100 in words is "one hundred three billion, one hundred twenty-one million, twenty thousand, one hundred".