10211106823016 has 128 divisors (see below), whose sum is σ = 21464120793600. Its totient is φ = 4515030347520.

The previous prime is 10211106823003. The next prime is 10211106823031. The reversal of 10211106823016 is 61032860111201.

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, 199960895 + ... + 200011953.

It is an arithmetic number, because the mean of its divisors is an integer number (167688443700).

Almost surely, 2^{10211106823016} 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 10211106823016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732060396800).

10211106823016 is an abundant number, since it is smaller than the sum of its proper divisors (11253013970584).

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

10211106823016 is a wasteful number, since it uses less digits than its factorization.

10211106823016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51567 (or 51563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

Adding to 10211106823016 its reverse (61032860111201), we get a palindrome (71243966934217).

The spelling of 10211106823016 in words is "ten trillion, two hundred eleven billion, one hundred six million, eight hundred twenty-three thousand, sixteen".