10111100112 has 60 divisors (see below), whose sum is σ = 29061837220. Its totient is φ = 3279273984.

The previous prime is 10111100093. The next prime is 10111100137. The reversal of 10111100112 is 21100111101.

It can be written as a sum of positive squares in 2 ways, for example, as 9734584896 + 376515216 = 98664^2 + 19404^2 .

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 = 10111100094 and 10111100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 943537 + ... + 954192.

Almost surely, 2^10111100112 is an apocalyptic number.

10111100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111100112 is an abundant number, since it is smaller than the sum of its proper divisors (18950737108).

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

10111100112 is a wasteful number, since it uses less digits than its factorization.

10111100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897780 (or 1897771 counting only the distinct ones).

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

Adding to 10111100112 its reverse (21100111101), we get a palindrome (31211211213).

The spelling of 10111100112 in words is "ten billion, one hundred eleven million, one hundred thousand, one hundred twelve".