11102011101000 has 192 divisors, whose sum is σ = 38818756969200. Its totient is φ = 2858448768000.

The previous prime is 11102011100989. The next prime is 11102011101017. The reversal of 11102011101000 is 10111020111.

It can be written as a sum of positive squares in 8 ways, for example, as 1637934113124 + 9464076987876 = 1279818^2 + 3076374^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21007221 + ... + 21529220.

Almost surely, 2^{11102011101000} is an apocalyptic number.

11102011101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102011101000 is an abundant number, since it is smaller than the sum of its proper divisors (27716745868200).

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

11102011101000 is a wasteful number, since it uses less digits than its factorization.

11102011101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42536497 (or 42536480 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11102011101000 its reverse (10111020111), we get a palindrome (11112122121111).

It can be divided in two parts, 11102011 and 101000, that added together give a triangular number (11203011 = T₄₇₃₃).

The spelling of 11102011101000 in words is "eleven trillion, one hundred two billion, eleven million, one hundred one thousand".