11001010099992 has 256 divisors, whose sum is σ = 32737399188480. Its totient is φ = 3042679603200.

The previous prime is 11001010099987. The next prime is 11001010099993. The reversal of 11001010099992 is 29999001010011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001010099993) 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 63 ways as a sum of consecutive naturals, for example, 30550338 + ... + 30908334.

It is an arithmetic number, because the mean of its divisors is an integer number (127880465580).

Almost surely, 2^{11001010099992} is an apocalyptic number.

11001010099992 is a gapful number since it is divisible by the number (12) 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 11001010099992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368699594240).

11001010099992 is an abundant number, since it is smaller than the sum of its proper divisors (21736389088488).

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

11001010099992 is a wasteful number, since it uses less digits than its factorization.

11001010099992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358242 (or 358238 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 42.

The spelling of 11001010099992 in words is "eleven trillion, one billion, ten million, ninety-nine thousand, nine hundred ninety-two".