10211003143000 has 128 divisors (see below), whose sum is σ = 26068487178240. Its totient is φ = 3712724400000.

The previous prime is 10211003142911. The next prime is 10211003143051. The reversal of 10211003143000 is 34130011201.

10211003143000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127020819 + ... + 127101181.

It is an arithmetic number, because the mean of its divisors is an integer number (203660056080).

Almost surely, 2^{10211003143000} is an apocalyptic number.

10211003143000 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 10211003143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13034243589120).

10211003143000 is an abundant number, since it is smaller than the sum of its proper divisors (15857484035240).

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

10211003143000 is a wasteful number, since it uses less digits than its factorization.

10211003143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91946 (or 91932 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10211003143000 its reverse (34130011201), we get a palindrome (10245133154201).

The spelling of 10211003143000 in words is "ten trillion, two hundred eleven billion, three million, one hundred forty-three thousand".