10142214200 has 72 divisors (see below), whose sum is σ = 24360360480. Its totient is φ = 3922948800.

The previous prime is 10142214053. The next prime is 10142214211. The reversal of 10142214200 is 241224101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7929161 + ... + 7930439.

It is an arithmetic number, because the mean of its divisors is an integer number (338338340).

Almost surely, 2^10142214200 is an apocalyptic number.

10142214200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180180240).

10142214200 is an abundant number, since it is smaller than the sum of its proper divisors (14218146280).

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

10142214200 is an equidigital number, since it uses as much as digits as its factorization.

10142214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10142214200 its reverse (241224101), we get a palindrome (10383438301).

Subtracting from 10142214200 its reverse (241224101), we obtain a palindrome (9900990099).

The spelling of 10142214200 in words is "ten billion, one hundred forty-two million, two hundred fourteen thousand, two hundred".