10215125103040 has 224 divisors, whose sum is σ = 28591295705280. Its totient is φ = 3427179724800.

The previous prime is 10215125103019. The next prime is 10215125103047. The reversal of 10215125103040 is 4030152151201.

It is a junction number, because it is equal to n+sod(n) for n = 10215125102996 and 10215125103014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215125103047) 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 31 ways as a sum of consecutive naturals, for example, 95539210 + ... + 95646070.

It is an arithmetic number, because the mean of its divisors is an integer number (127639712970).

Almost surely, 2^{10215125103040} is an apocalyptic number.

10215125103040 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 10215125103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295647852640).

10215125103040 is an abundant number, since it is smaller than the sum of its proper divisors (18376170602240).

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

10215125103040 is a wasteful number, since it uses less digits than its factorization.

10215125103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108991 (or 108981 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 10215125103040 its reverse (4030152151201), we get a palindrome (14245277254241).

The spelling of 10215125103040 in words is "ten trillion, two hundred fifteen billion, one hundred twenty-five million, one hundred three thousand, forty".