103210000200400 has 480 divisors, whose sum is σ = 261615505536000. Its totient is φ = 39092491468800.

The previous prime is 103210000200343. The next prime is 103210000200407. The reversal of 103210000200400 is 4002000012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210000200407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32589199617 + ... + 32589202783.

It is an arithmetic number, because the mean of its divisors is an integer number (545032303200).

Almost surely, 2^{103210000200400} is an apocalyptic number.

103210000200400 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 103210000200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130807752768000).

103210000200400 is an abundant number, since it is smaller than the sum of its proper divisors (158405505335600).

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

103210000200400 is a wasteful number, since it uses less digits than its factorization.

103210000200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 103210000200400 its reverse (4002000012301), we get a palindrome (107212000212701).

The spelling of 103210000200400 in words is "one hundred three trillion, two hundred ten billion, two hundred thousand, four hundred".