10142214000 has 160 divisors (see below), whose sum is σ = 32757903360. Its totient is φ = 2699680000.

The previous prime is 10142213953. The next prime is 10142214013. The reversal of 10142214000 is 41224101.

10142214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4312825 + ... + 4315175.

It is an arithmetic number, because the mean of its divisors is an integer number (204736896).

Almost surely, 2^10142214000 is an apocalyptic number.

10142214000 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 10142214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378951680).

10142214000 is an abundant number, since it is smaller than the sum of its proper divisors (22615689360).

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

10142214000 is a wasteful number, since it uses less digits than its factorization.

10142214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10142214000 its reverse (41224101), we get a palindrome (10183438101).

The spelling of 10142214000 in words is "ten billion, one hundred forty-two million, two hundred fourteen thousand".