111100001000100 has 288 divisors, whose sum is σ = 369183204096000. Its totient is φ = 25269042355200.

The previous prime is 111100001000099. The next prime is 111100001000101. The reversal of 111100001000100 is 1000100001111.

It is an interprime number because it is at equal distance from previous prime (111100001000099) and next prime (111100001000101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (111100001000101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2604963576 + ... + 2605006224.

Almost surely, 2^{111100001000100} is an apocalyptic number.

111100001000100 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 111100001000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184591602048000).

111100001000100 is an abundant number, since it is smaller than the sum of its proper divisors (258083203095900).

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

111100001000100 is a wasteful number, since it uses less digits than its factorization.

111100001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48763 (or 48756 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111100001000100 its reverse (1000100001111), we get a palindrome (112100101001211).

The spelling of 111100001000100 in words is "one hundred eleven trillion, one hundred billion, one million, one hundred", and thus it is an aban number.