210012142102000 has 320 divisors, whose sum is σ = 583545974738688. Its totient is φ = 71608320000000.

The previous prime is 210012142101997. The next prime is 210012142102097. The reversal of 210012142102000 is 201241210012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 10000091500 + ... + 10000112500.

Almost surely, 2^{210012142102000} is an apocalyptic number.

210012142102000 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 210012142102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291772987369344).

210012142102000 is an abundant number, since it is smaller than the sum of its proper divisors (373533832636688).

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

210012142102000 is a wasteful number, since it uses less digits than its factorization.

210012142102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24925 (or 24909 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210012142102000 its reverse (201241210012), we get a palindrome (210213383312012).

The spelling of 210012142102000 in words is "two hundred ten trillion, twelve billion, one hundred forty-two million, one hundred two thousand".