10132400200 has 96 divisors (see below), whose sum is σ = 25603439400. Its totient is φ = 3706767360.

The previous prime is 10132400191. The next prime is 10132400209. The reversal of 10132400200 is 200423101.

It is an interprime number because it is at equal distance from previous prime (10132400191) and next prime (10132400209).

It can be written as a sum of positive squares in 12 ways, for example, as 1542447076 + 8589953124 = 39274^2 + 92682^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10132400209) 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, 265524 + ... + 301276.

Almost surely, 2^10132400200 is an apocalyptic number.

10132400200 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 10132400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801719700).

10132400200 is an abundant number, since it is smaller than the sum of its proper divisors (15471039200).

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

10132400200 is a wasteful number, since it uses less digits than its factorization.

10132400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35891 (or 35882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10132400200 its reverse (200423101), we get a palindrome (10332823301).

The spelling of 10132400200 in words is "ten billion, one hundred thirty-two million, four hundred thousand, two hundred".