10251124252140 has 192 divisors, whose sum is σ = 29593421424000. Its totient is φ = 2649435070464.

The previous prime is 10251124252111. The next prime is 10251124252151. The reversal of 10251124252140 is 4125242115201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10251124252098 and 10251124252107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828233632 + ... + 828246008.

It is an arithmetic number, because the mean of its divisors is an integer number (154132403250).

Almost surely, 2^{10251124252140} is an apocalyptic number.

10251124252140 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 10251124252140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796710712000).

10251124252140 is an abundant number, since it is smaller than the sum of its proper divisors (19342297171860).

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

10251124252140 is a wasteful number, since it uses less digits than its factorization.

10251124252140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13844 (or 13842 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 10251124252140 its reverse (4125242115201), we get a palindrome (14376366367341).

The spelling of 10251124252140 in words is "ten trillion, two hundred fifty-one billion, one hundred twenty-four million, two hundred fifty-two thousand, one hundred forty".