10442121410112 has 112 divisors (see below), whose sum is σ = 31600641042432. Its totient is φ = 2981039178240.

The previous prime is 10442121410111. The next prime is 10442121410131. The reversal of 10442121410112 is 21101412124401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10442121410111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501278 + ... + 4810205.

It is an arithmetic number, because the mean of its divisors is an integer number (282148580736).

Almost surely, 2^{10442121410112} is an apocalyptic number.

10442121410112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10442121410112 is an abundant number, since it is smaller than the sum of its proper divisors (21158519632320).

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

10442121410112 is a wasteful number, since it uses less digits than its factorization.

10442121410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312736 (or 6312726 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 10442121410112 its reverse (21101412124401), we get a palindrome (31543533534513).

The spelling of 10442121410112 in words is "ten trillion, four hundred forty-two billion, one hundred twenty-one million, four hundred ten thousand, one hundred twelve".