10100000111112 has 96 divisors (see below), whose sum is σ = 28099632674880. Its totient is φ = 3274957008000.

The previous prime is 10100000111111. The next prime is 10100000111171. The reversal of 10100000111112 is 21111100000101.

10100000111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100000111094 and 10100000111103.

It is not an unprimeable number, because it can be changed into a prime (10100000111111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11795487 + ... + 12622737.

It is an arithmetic number, because the mean of its divisors is an integer number (292704507030).

Almost surely, 2^{10100000111112} is an apocalyptic number.

10100000111112 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 10100000111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049816337440).

10100000111112 is an abundant number, since it is smaller than the sum of its proper divisors (17999632563768).

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

10100000111112 is a wasteful number, since it uses less digits than its factorization.

10100000111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831883 (or 831876 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100000111112 its reverse (21111100000101), we get a palindrome (31211100111213).

The spelling of 10100000111112 in words is "ten trillion, one hundred billion, one hundred eleven thousand, one hundred twelve".