10002130241240 has 128 divisors (see below), whose sum is σ = 23785154150400. Its totient is φ = 3777723755520.

The previous prime is 10002130241239. The next prime is 10002130241297. The reversal of 10002130241240 is 4214203120001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502281524 + ... + 502301436.

It is an arithmetic number, because the mean of its divisors is an integer number (185821516800).

Almost surely, 2^{10002130241240} is an apocalyptic number.

10002130241240 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 10002130241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892577075200).

10002130241240 is an abundant number, since it is smaller than the sum of its proper divisors (13783023909160).

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

10002130241240 is a wasteful number, since it uses less digits than its factorization.

10002130241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26937 (or 26933 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10002130241240 its reverse (4214203120001), we get a palindrome (14216333361241).

The spelling of 10002130241240 in words is "ten trillion, two billion, one hundred thirty million, two hundred forty-one thousand, two hundred forty".