10111332012 has 72 divisors (see below), whose sum is σ = 25093477584. Its totient is φ = 3168273408.

The previous prime is 10111331983. The next prime is 10111332019. The reversal of 10111332012 is 21023311101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10111331982 and 10111332000.

It is not an unprimeable number, because it can be changed into a prime (10111332019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4288738 + ... + 4291094.

It is an arithmetic number, because the mean of its divisors is an integer number (348520522).

Almost surely, 2^10111332012 is an apocalyptic number.

10111332012 is a gapful number since it is divisible by the number (12) 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 10111332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546738792).

10111332012 is an abundant number, since it is smaller than the sum of its proper divisors (14982145572).

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

10111332012 is a wasteful number, since it uses less digits than its factorization.

10111332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10111332012 its reverse (21023311101), we get a palindrome (31134643113).

The spelling of 10111332012 in words is "ten billion, one hundred eleven million, three hundred thirty-two thousand, twelve".