111101000001000 has 512 divisors, whose sum is σ = 352827163353600. Its totient is φ = 29102976000000.

The previous prime is 111101000000987. The next prime is 111101000001023. The reversal of 111101000001000 is 100000101111.

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 a self number, because there is not a number n which added to its sum of digits gives 111101000001000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34621687396 + ... + 34621690604.

It is an arithmetic number, because the mean of its divisors is an integer number (689115553425).

Almost surely, 2^{111101000001000} is an apocalyptic number.

111101000001000 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 111101000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176413581676800).

111101000001000 is an abundant number, since it is smaller than the sum of its proper divisors (241726163352600).

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

111101000001000 is a wasteful number, since it uses less digits than its factorization.

111101000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4184 counting only the distinct ones).

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

Adding to 111101000001000 its reverse (100000101111), we get a palindrome (111201000102111).

It can be divided in two parts, 11 and 1101000001000, that added together give a palindrome (1101000001011).

The spelling of 111101000001000 in words is "one hundred eleven trillion, one hundred one billion, one thousand".