1011827849100 has 144 divisors (see below), whose sum is σ = 2942539998720. Its totient is φ = 268442553600.

The previous prime is 1011827849047. The next prime is 1011827849101. The reversal of 1011827849100 is 19487281101.

It is not an unprimeable number, because it can be changed into a prime (1011827849101) 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 47 ways as a sum of consecutive naturals, for example, 59584411 + ... + 59601389.

Almost surely, 2^{1011827849100} is an apocalyptic number.

1011827849100 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 1011827849100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471269999360).

1011827849100 is an abundant number, since it is smaller than the sum of its proper divisors (1930712149620).

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

1011827849100 is a wasteful number, since it uses less digits than its factorization.

1011827849100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18000 (or 17993 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The spelling of 1011827849100 in words is "one trillion, eleven billion, eight hundred twenty-seven million, eight hundred forty-nine thousand, one hundred".