10200112240 has 80 divisors (see below), whose sum is σ = 23986643328. Its totient is φ = 4033548288.

The previous prime is 10200112231. The next prime is 10200112253. The reversal of 10200112240 is 4221100201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10200112240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4184302 + ... + 4186738.

Almost surely, 2^10200112240 is an apocalyptic number.

10200112240 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 10200112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11993321664).

10200112240 is an abundant number, since it is smaller than the sum of its proper divisors (13786531088).

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

10200112240 is a wasteful number, since it uses less digits than its factorization.

10200112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10200112240 its reverse (4221100201), we get a palindrome (14421212441).

The spelling of 10200112240 in words is "ten billion, two hundred million, one hundred twelve thousand, two hundred forty".