10332113211100 has 288 divisors, whose sum is σ = 24264471974400. Its totient is φ = 3811587763200.

The previous prime is 10332113211089. The next prime is 10332113211109. The reversal of 10332113211100 is 111231123301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332113211109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866273337 + ... + 866285263.

It is an arithmetic number, because the mean of its divisors is an integer number (84251638800).

Almost surely, 2^{10332113211100} is an apocalyptic number.

10332113211100 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 10332113211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132235987200).

10332113211100 is an abundant number, since it is smaller than the sum of its proper divisors (13932358763300).

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

10332113211100 is a wasteful number, since it uses less digits than its factorization.

10332113211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10332113211100 its reverse (111231123301), we get a palindrome (10443344334401).

The spelling of 10332113211100 in words is "ten trillion, three hundred thirty-two billion, one hundred thirteen million, two hundred eleven thousand, one hundred".