205100142000 has 320 divisors, whose sum is σ = 725558311296. Its totient is φ = 49532620800.

The previous prime is 205100141989. The next prime is 205100142047. The reversal of 205100142000 is 241001502.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4109194 + ... + 4158806.

Almost surely, 2^205100142000 is an apocalyptic number.

205100142000 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 205100142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362779155648).

205100142000 is an abundant number, since it is smaller than the sum of its proper divisors (520458169296).

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

205100142000 is a wasteful number, since it uses less digits than its factorization.

205100142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49705 (or 49689 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 205100142000 its reverse (241001502), we get a palindrome (205341143502).

The spelling of 205100142000 in words is "two hundred five billion, one hundred million, one hundred forty-two thousand".