10111011000112 has 240 divisors, whose sum is σ = 22316546828160. Its totient is φ = 4400889292800.

The previous prime is 10111011000107. The next prime is 10111011000149. The reversal of 10111011000112 is 21100011011101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11770675939 + ... + 11770676797.

It is an arithmetic number, because the mean of its divisors is an integer number (92985611784).

Almost surely, 2^{10111011000112} 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 10111011000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158273414080).

10111011000112 is an abundant number, since it is smaller than the sum of its proper divisors (12205535828048).

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

10111011000112 is a wasteful number, since it uses less digits than its factorization.

10111011000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111011000112 its reverse (21100011011101), we get a palindrome (31211022011213).

The spelling of 10111011000112 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred twelve", and thus it is an aban number.