10142412100 has 36 divisors (see below), whose sum is σ = 22016223684. Its totient is φ = 4055639680.

The previous prime is 10142412089. The next prime is 10142412101. The reversal of 10142412100 is 121424101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1033236736 + 9109175364 = 32144^2 + 95442^2 .

It is not an unprimeable number, because it can be changed into a prime (10142412101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326442 + ... + 356158.

It is an arithmetic number, because the mean of its divisors is an integer number (611561769).

Almost surely, 2^10142412100 is an apocalyptic number.

10142412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142412100 is an abundant number, since it is smaller than the sum of its proper divisors (11873811584).

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

10142412100 is a wasteful number, since it uses less digits than its factorization.

10142412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33144 (or 33137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10142412100 its reverse (121424101), we get a palindrome (10263836201).

The spelling of 10142412100 in words is "ten billion, one hundred forty-two million, four hundred twelve thousand, one hundred".