111111001000000 has 196 divisors, whose sum is σ = 275779956455748. Its totient is φ = 44416000000000.

The previous prime is 111111000999983. The next prime is 111111001000037. The reversal of 111111001000000 is 100111111.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 111034944185344 + 76056814656 = 10537312^2 + 275784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1600965300 + ... + 1601034700.

Almost surely, 2^{111111001000000} is an apocalyptic number.

111111001000000 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 111111001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137889978227874).

111111001000000 is an abundant number, since it is smaller than the sum of its proper divisors (164668955455748).

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

111111001000000 is an frugal number, since it uses more digits than its factorization.

111111001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71044 (or 71009 counting only the distinct ones).

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

Adding to 111111001000000 its reverse (100111111), we get a palindrome (111111101111111).

The spelling of 111111001000000 in words is "one hundred eleven trillion, one hundred eleven billion, one million", and thus it is an aban number.