1011111011000 has 128 divisors (see below), whose sum is σ = 2494617652800. Its totient is φ = 382528396800.

The previous prime is 1011111010997. The next prime is 1011111011021. The reversal of 1011111011000 is 1101111101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11603594 + ... + 11690406.

Almost surely, 2^{1011111011000} is an apocalyptic number.

1011111011000 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 1011111011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247308826400).

1011111011000 is an abundant number, since it is smaller than the sum of its proper divisors (1483506641800).

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

1011111011000 is a wasteful number, since it uses less digits than its factorization.

1011111011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87466 (or 87452 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011111011000 its reverse (1101111101), we get a palindrome (1012212122101).

It can be divided in two parts, 101111 and 1011000, that added together give a palindrome (1112111).

The spelling of 1011111011000 in words is "one trillion, eleven billion, one hundred eleven million, eleven thousand".