10142034342200 has 24 divisors (see below), whose sum is σ = 23580229846080. Its totient is φ = 4056813736800.

The previous prime is 10142034342179. The next prime is 10142034342257. The reversal of 10142034342200 is 224343024101.

It is a super-4 number, since 4×10142034342200⁴ (a number of 53 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10142034342200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25355085656 + ... + 25355086055.

It is an arithmetic number, because the mean of its divisors is an integer number (982509576920).

Almost surely, 2^{10142034342200} is an apocalyptic number.

10142034342200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142034342200 is an abundant number, since it is smaller than the sum of its proper divisors (13438195503880).

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

10142034342200 is a wasteful number, since it uses less digits than its factorization.

10142034342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50710171727 (or 50710171718 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10142034342200 its reverse (224343024101), we get a palindrome (10366377366301).

The spelling of 10142034342200 in words is "ten trillion, one hundred forty-two billion, thirty-four million, three hundred forty-two thousand, two hundred".