10081888200 has 144 divisors (see below), whose sum is σ = 34950739200. Its totient is φ = 2601763200.

The previous prime is 10081888189. The next prime is 10081888211. The reversal of 10081888200 is 288818001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10081888189) and next prime (10081888211).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34540 + ... + 146139.

Almost surely, 2^10081888200 is an apocalyptic number.

10081888200 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 10081888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475369600).

10081888200 is an abundant number, since it is smaller than the sum of its proper divisors (24868851000).

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

10081888200 is a wasteful number, since it uses less digits than its factorization.

10081888200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180732 (or 180720 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 10081888200 in words is "ten billion, eighty-one million, eight hundred eighty-eight thousand, two hundred".