10211334034144 has 96 divisors (see below), whose sum is σ = 21364668864000. Its totient is φ = 4790579480064.

The previous prime is 10211334034141. The next prime is 10211334034157. The reversal of 10211334034144 is 44143043311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211334034141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165848037 + ... + 165909595.

It is an arithmetic number, because the mean of its divisors is an integer number (222548634000).

Almost surely, 2^{10211334034144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211334034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10682334432000).

10211334034144 is an abundant number, since it is smaller than the sum of its proper divisors (11153334829856).

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

10211334034144 is a wasteful number, since it uses less digits than its factorization.

10211334034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64200 (or 64192 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 10211334034144 its reverse (44143043311201), we get a palindrome (54354377345345).

The spelling of 10211334034144 in words is "ten trillion, two hundred eleven billion, three hundred thirty-four million, thirty-four thousand, one hundred forty-four".