10204250252200 has 96 divisors (see below), whose sum is σ = 24342779640960. Its totient is φ = 3975912460800.

The previous prime is 10204250252167. The next prime is 10204250252221. The reversal of 10204250252200 is 225205240201.

10204250252200 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 (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539660 + ... + 4772740.

It is an arithmetic number, because the mean of its divisors is an integer number (253570621260).

Almost surely, 2^{10204250252200} is an apocalyptic number.

10204250252200 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 10204250252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171389820480).

10204250252200 is an abundant number, since it is smaller than the sum of its proper divisors (14138529388760).

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

10204250252200 is a wasteful number, since it uses less digits than its factorization.

10204250252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233507 (or 3233498 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 10204250252200 its reverse (225205240201), we get a palindrome (10429455492401).

The spelling of 10204250252200 in words is "ten trillion, two hundred four billion, two hundred fifty million, two hundred fifty-two thousand, two hundred".