1010025200 has 60 divisors (see below), whose sum is σ = 2436065808. Its totient is φ = 402432000.

The previous prime is 1010025193. The next prime is 1010025209. The reversal of 1010025200 is 25200101.

1010025200 is nontrivially palindromic in base 15.

1010025200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010025209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100400 + ... + 110000.

Almost surely, 2^1010025200 is an apocalyptic number.

1010025200 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 1010025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218032904).

1010025200 is an abundant number, since it is smaller than the sum of its proper divisors (1426040608).

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

1010025200 is a wasteful number, since it uses less digits than its factorization.

1010025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9871 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1010025200 is about 31780.8936312370. The cubic root of 1010025200 is about 1003.3306279352.

Adding to 1010025200 its reverse (25200101), we get a palindrome (1035225301).

The spelling of 1010025200 in words is "one billion, ten million, twenty-five thousand, two hundred".