10031072245000 has 40 divisors (see below), whose sum is σ = 23502802281750. Its totient is φ = 4012428896000.

The previous prime is 10031072244979. The next prime is 10031072245001. The reversal of 10031072245000 is 54227013001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 612716348644 + 9418355896356 = 782762^2 + 3068934^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10031072245001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1003102225 + ... + 1003112224.

Almost surely, 2^{10031072245000} is an apocalyptic number.

10031072245000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031072245000 is an abundant number, since it is smaller than the sum of its proper divisors (13471730036750).

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

10031072245000 is an equidigital number, since it uses as much as digits as its factorization.

10031072245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006214475 (or 2006214456 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 10031072245000 its reverse (54227013001), we get a palindrome (10085299258001).

The spelling of 10031072245000 in words is "ten trillion, thirty-one billion, seventy-two million, two hundred forty-five thousand".