111001101000100 has 18 divisors (see below), whose sum is σ = 240872389170434. Its totient is φ = 44400440400000.

The previous prime is 111001101000091. The next prime is 111001101000109. The reversal of 111001101000100 is 1000101100111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111001101000091) and next prime (111001101000109).

It can be written as a sum of positive squares in 3 ways, for example, as 33364278497124 + 77636822502976 = 5776182^2 + 8811176^2 .

It is not an unprimeable number, because it can be changed into a prime (111001101000109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555005504901 + ... + 555005505100.

Almost surely, 2^{111001101000100} is an apocalyptic number.

111001101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001101000100 is an abundant number, since it is smaller than the sum of its proper divisors (129871288170334).

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

111001101000100 is a wasteful number, since it uses less digits than its factorization.

111001101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110011010015 (or 1110011010008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111001101000100 its reverse (1000101100111), we get a palindrome (112001202100211).

It can be divided in two parts, 111001 and 101000100, that added together give a palindrome (101111101).

The spelling of 111001101000100 in words is "one hundred eleven trillion, one billion, one hundred one million, one hundred", and thus it is an aban number.