214142100253000 has 128 divisors (see below), whose sum is σ = 512700059289600. Its totient is φ = 83679382368000.

The previous prime is 214142100252931. The next prime is 214142100253007. The reversal of 214142100253000 is 352001241412.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (214142100253007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21216081 + ... + 29637919.

It is an arithmetic number, because the mean of its divisors is an integer number (4005469213200).

Almost surely, 2^{214142100253000} is an apocalyptic number.

214142100253000 is a gapful number since it is divisible by the number (20) 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 214142100253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256350029644800).

214142100253000 is an abundant number, since it is smaller than the sum of its proper divisors (298557959036600).

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

214142100253000 is a wasteful number, since it uses less digits than its factorization.

214142100253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422448 (or 8422434 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 214142100253000 its reverse (352001241412), we get a palindrome (214494101494412).

The spelling of 214142100253000 in words is "two hundred fourteen trillion, one hundred forty-two billion, one hundred million, two hundred fifty-three thousand".