10031240210200 has 192 divisors, whose sum is σ = 25709074380000. Its totient is φ = 3609741312000.

The previous prime is 10031240210161. The next prime is 10031240210209. The reversal of 10031240210200 is 201204213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031240210209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88121320 + ... + 88235080.

Almost surely, 2^{10031240210200} is an apocalyptic number.

10031240210200 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 10031240210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854537190000).

10031240210200 is an abundant number, since it is smaller than the sum of its proper divisors (15677834169800).

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

10031240210200 is a wasteful number, since it uses less digits than its factorization.

10031240210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114206 (or 114197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10031240210200 its reverse (201204213001), we get a palindrome (10232444423201).

The spelling of 10031240210200 in words is "ten trillion, thirty-one billion, two hundred forty million, two hundred ten thousand, two hundred".