1011000110100 has 72 divisors (see below), whose sum is σ = 3004218738528. Its totient is φ = 262313539200.

The previous prime is 1011000110041. The next prime is 1011000110101. The reversal of 1011000110100 is 10110001101.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45529446 + ... + 45551645.

Almost surely, 2^{1011000110100} is an apocalyptic number.

1011000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011000110100 is an abundant number, since it is smaller than the sum of its proper divisors (1993218628428).

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

1011000110100 is a wasteful number, since it uses less digits than its factorization.

1011000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91081145 (or 91081138 counting only the distinct ones).

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

Adding to 1011000110100 its reverse (10110001101), we get a palindrome (1021110111201).

1011000110100 divided by its reverse (10110001101) gives a square (100 = 10²).

The spelling of 1011000110100 in words is "one trillion, eleven billion, one hundred ten thousand, one hundred".