10401340100 has 288 divisors, whose sum is σ = 25648358400. Its totient is φ = 3648153600.

The previous prime is 10401340093. The next prime is 10401340111. The reversal of 10401340100 is 104310401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176293871 + ... + 176293929.

It is an arithmetic number, because the mean of its divisors is an integer number (89056800).

Almost surely, 2^10401340100 is an apocalyptic number.

10401340100 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 10401340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824179200).

10401340100 is an abundant number, since it is smaller than the sum of its proper divisors (15247018300).

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

10401340100 is a wasteful number, since it uses less digits than its factorization.

10401340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10401340100 its reverse (104310401), we get a palindrome (10505650501).

The spelling of 10401340100 in words is "ten billion, four hundred one million, three hundred forty thousand, one hundred".