10012143211000 has 128 divisors (see below), whose sum is σ = 26847122290560. Its totient is φ = 3423530880000.

The previous prime is 10012143210991. The next prime is 10012143211001. The reversal of 10012143211000 is 11234121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012143211001) 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, 693700 + ... + 4528300.

It is an arithmetic number, because the mean of its divisors is an integer number (209743142895).

Almost surely, 2^{10012143211000} is an apocalyptic number.

10012143211000 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 10012143211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423561145280).

10012143211000 is an abundant number, since it is smaller than the sum of its proper divisors (16834979079560).

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

10012143211000 is a wasteful number, since it uses less digits than its factorization.

10012143211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835002 (or 3834988 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10012143211000 its reverse (11234121001), we get a palindrome (10023377332001).

The spelling of 10012143211000 in words is "ten trillion, twelve billion, one hundred forty-three million, two hundred eleven thousand".