10112111100 has 864 divisors, whose sum is σ = 41493344256. Its totient is φ = 2003097600.

The previous prime is 10112111099. The next prime is 10112111101. The reversal of 10112111100 is 111121101.

It is an interprime number because it is at equal distance from previous prime (10112111099) and next prime (10112111101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112111101) 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 287 ways as a sum of consecutive naturals, for example, 142424065 + ... + 142424135.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704).

Almost surely, 2^10112111100 is an apocalyptic number.

10112111100 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 10112111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746672128).

10112111100 is an abundant number, since it is smaller than the sum of its proper divisors (31381233156).

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

10112111100 is a wasteful number, since it uses less digits than its factorization.

10112111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

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

Adding to 10112111100 its reverse (111121101), we get a palindrome (10223232201).

The spelling of 10112111100 in words is "ten billion, one hundred twelve million, one hundred eleven thousand, one hundred".