10340225204100 has 288 divisors, whose sum is σ = 32778062069760. Its totient is φ = 2495937600000.

The previous prime is 10340225204093. The next prime is 10340225204137. The reversal of 10340225204100 is 140252204301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2885910909 + ... + 2885914491.

It is an arithmetic number, because the mean of its divisors is an integer number (113812715520).

Almost surely, 2^{10340225204100} is an apocalyptic number.

10340225204100 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 10340225204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389031034880).

10340225204100 is an abundant number, since it is smaller than the sum of its proper divisors (22437836865660).

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

10340225204100 is a wasteful number, since it uses less digits than its factorization.

10340225204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10340225204100 its reverse (140252204301), we get a palindrome (10480477408401).

The spelling of 10340225204100 in words is "ten trillion, three hundred forty billion, two hundred twenty-five million, two hundred four thousand, one hundred".