10031002030200 has 192 divisors, whose sum is σ = 31226957775360. Its totient is φ = 2663699512320.

The previous prime is 10031002030193. The next prime is 10031002030229. The reversal of 10031002030200 is 203020013001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150363252 + ... + 150429948.

It is an arithmetic number, because the mean of its divisors is an integer number (162640405080).

Almost surely, 2^{10031002030200} is an apocalyptic number.

10031002030200 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 10031002030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15613478887680).

10031002030200 is an abundant number, since it is smaller than the sum of its proper divisors (21195955745160).

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

10031002030200 is a wasteful number, since it uses less digits than its factorization.

10031002030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67766 (or 67757 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10031002030200 its reverse (203020013001), we get a palindrome (10234022043201).

The spelling of 10031002030200 in words is "ten trillion, thirty-one billion, two million, thirty thousand, two hundred".