10142412252610 has 256 divisors, whose sum is σ = 21439821312000. Its totient is φ = 3415947033600.

The previous prime is 10142412252523. The next prime is 10142412252653. The reversal of 10142412252610 is 1625221424101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5805615757 + ... + 5805617503.

It is an arithmetic number, because the mean of its divisors is an integer number (83749302000).

Almost surely, 2^{10142412252610} is an apocalyptic number.

10142412252610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10142412252610 is an abundant number, since it is smaller than the sum of its proper divisors (11297409059390).

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

10142412252610 is a wasteful number, since it uses less digits than its factorization.

10142412252610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217.

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 10142412252610 its reverse (1625221424101), we get a palindrome (11767633676711).

The spelling of 10142412252610 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred fifty-two thousand, six hundred ten".