103121433300400 has 240 divisors, whose sum is σ = 256984568006400. Its totient is φ = 39724089753600.

The previous prime is 103121433300397. The next prime is 103121433300401. The reversal of 103121433300400 is 4003334121301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (103121433300401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5631041644 + ... + 5631059956.

It is an arithmetic number, because the mean of its divisors is an integer number (1070769033360).

Almost surely, 2^{103121433300400} is an apocalyptic number.

103121433300400 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 103121433300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128492284003200).

103121433300400 is an abundant number, since it is smaller than the sum of its proper divisors (153863134706000).

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

103121433300400 is a wasteful number, since it uses less digits than its factorization.

103121433300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20544 (or 20533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 103121433300400 its reverse (4003334121301), we get a palindrome (107124767421701).

The spelling of 103121433300400 in words is "one hundred three trillion, one hundred twenty-one billion, four hundred thirty-three million, three hundred thousand, four hundred".