10113202240400 has 120 divisors (see below), whose sum is σ = 27771017731584. Its totient is φ = 3467002291200.

The previous prime is 10113202240399. The next prime is 10113202240409. The reversal of 10113202240400 is 404220231101.

10113202240400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10113202240409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25876844 + ... + 26264756.

Almost surely, 2^{10113202240400} is an apocalyptic number.

10113202240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113202240400 is an abundant number, since it is smaller than the sum of its proper divisors (17657815491184).

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

10113202240400 is a wasteful number, since it uses less digits than its factorization.

10113202240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397249 (or 397238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10113202240400 its reverse (404220231101), we get a palindrome (10517422471501).

The spelling of 10113202240400 in words is "ten trillion, one hundred thirteen billion, two hundred two million, two hundred forty thousand, four hundred".