1010111011000 has 128 divisors (see below), whose sum is σ = 2909119973760. Its totient is φ = 319683456000.

The previous prime is 1010111010919. The next prime is 1010111011009. The reversal of 1010111011000 is 1101110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010111011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5459061 + ... + 5641060.

It is an arithmetic number, because the mean of its divisors is an integer number (22727499795).

Almost surely, 2^{1010111011000} is an apocalyptic number.

1010111011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010111011000 is an abundant number, since it is smaller than the sum of its proper divisors (1899008962760).

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

1010111011000 is a wasteful number, since it uses less digits than its factorization.

1010111011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100162 (or 11100148 counting only the distinct ones).

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

Adding to 1010111011000 its reverse (1101110101), we get a palindrome (1011212121101).

The spelling of 1010111011000 in words is "one trillion, ten billion, one hundred eleven million, eleven thousand".