1010091011000 has 64 divisors (see below), whose sum is σ = 2439858620160. Its totient is φ = 391002960000.

The previous prime is 1010091010967. The next prime is 1010091011003. The reversal of 1010091011000 is 1101900101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010091011003) 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 15 ways as a sum of consecutive naturals, for example, 16260791 + ... + 16322790.

It is an arithmetic number, because the mean of its divisors is an integer number (38122790940).

Almost surely, 2^{1010091011000} is an apocalyptic number.

1010091011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010091011000 is an abundant number, since it is smaller than the sum of its proper divisors (1429767609160).

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

1010091011000 is a wasteful number, since it uses less digits than its factorization.

1010091011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32583633 (or 32583619 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1010091011000 its reverse (1101900101), we get a palindrome (1011192911101).

It can be divided in two parts, 101009101 and 1000, that added together give a palindrome (101010101).

The spelling of 1010091011000 in words is "one trillion, ten billion, ninety-one million, eleven thousand".