10142444043100 has 72 divisors (see below), whose sum is σ = 22521938503680. Its totient is φ = 3962454175680.

The previous prime is 10142444043077. The next prime is 10142444043161. The reversal of 10142444043100 is 134044424101.

It is a super-2 number, since 2×10142444043100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142737381 + ... + 142808419.

It is an arithmetic number, because the mean of its divisors is an integer number (312804701440).

Almost surely, 2^{10142444043100} is an apocalyptic number.

10142444043100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142444043100 is an abundant number, since it is smaller than the sum of its proper divisors (12379494460580).

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

10142444043100 is a wasteful number, since it uses less digits than its factorization.

10142444043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104299 (or 104292 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10142444043100 its reverse (134044424101), we get a palindrome (10276488467201).

The spelling of 10142444043100 in words is "ten trillion, one hundred forty-two billion, four hundred forty-four million, forty-three thousand, one hundred".