10011022112 has 96 divisors (see below), whose sum is σ = 24283873152. Its totient is φ = 3956097024.

The previous prime is 10011022093. The next prime is 10011022139. The reversal of 10011022112 is 21122011001.

It is a junction number, because it is equal to n+sod(n) for n = 10011022093 and 10011022102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4736768 + ... + 4738880.

It is an arithmetic number, because the mean of its divisors is an integer number (252957012).

Almost surely, 2^10011022112 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 10011022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141936576).

10011022112 is an abundant number, since it is smaller than the sum of its proper divisors (14272851040).

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

10011022112 is a wasteful number, since it uses less digits than its factorization.

10011022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10011022112 its reverse (21122011001), we get a palindrome (31133033113).

The spelling of 10011022112 in words is "ten billion, eleven million, twenty-two thousand, one hundred twelve".