1001111101128 has 96 divisors (see below), whose sum is σ = 2800535612160. Its totient is φ = 322739406720.

The previous prime is 1001111101121. The next prime is 1001111101129. The reversal of 1001111101128 is 8211011111001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1001111101128.

It is not an unprimeable number, because it can be changed into a prime (1001111101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3493626 + ... + 3769302.

It is an arithmetic number, because the mean of its divisors is an integer number (29172245960).

Almost surely, 2^{1001111101128} is an apocalyptic number.

1001111101128 is a gapful number since it is divisible by the number (18) 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 1001111101128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400267806080).

1001111101128 is an abundant number, since it is smaller than the sum of its proper divisors (1799424511032).

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

1001111101128 is a wasteful number, since it uses less digits than its factorization.

1001111101128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277347 (or 277340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 1001111101128 its reverse (8211011111001), we get a palindrome (9212122212129).

The spelling of 1001111101128 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred twenty-eight".