10251130052142 has 144 divisors (see below), whose sum is σ = 27425094944832. Its totient is φ = 2749730457600.

The previous prime is 10251130052123. The next prime is 10251130052221. The reversal of 10251130052142 is 24125003115201.

It is a happy number.

10251130052142 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 130 + 0 + 521 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5160123 + ... + 6865065.

It is an arithmetic number, because the mean of its divisors is an integer number (190452048228).

Almost surely, 2^{10251130052142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10251130052142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712547472416).

10251130052142 is an abundant number, since it is smaller than the sum of its proper divisors (17173964892690).

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

10251130052142 is a wasteful number, since it uses less digits than its factorization.

10251130052142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705383 (or 1705373 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10251130052142 its reverse (24125003115201), we get a palindrome (34376133167343).

The spelling of 10251130052142 in words is "ten trillion, two hundred fifty-one billion, one hundred thirty million, fifty-two thousand, one hundred forty-two".