10002331120020 has 48 divisors (see below), whose sum is σ = 29224202232960. Its totient is φ = 2551319241856.

The previous prime is 10002331120013. The next prime is 10002331120027. The reversal of 10002331120020 is 2002113320001.

It is an interprime number because it is at equal distance from previous prime (10002331120013) and next prime (10002331120027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002331120027) 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 15 ways as a sum of consecutive naturals, for example, 3624031635 + ... + 3624034394.

It is an arithmetic number, because the mean of its divisors is an integer number (608837546520).

Almost surely, 2^{10002331120020} is an apocalyptic number.

10002331120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002331120020 is an abundant number, since it is smaller than the sum of its proper divisors (19221871112940).

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

10002331120020 is a wasteful number, since it uses less digits than its factorization.

10002331120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248066064 (or 7248066062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10002331120020 its reverse (2002113320001), we get a palindrome (12004444440021).

The spelling of 10002331120020 in words is "ten trillion, two billion, three hundred thirty-one million, one hundred twenty thousand, twenty".