11102211010000 has 300 divisors, whose sum is σ = 29591129585556. Its totient is φ = 4030906880000.

The previous prime is 11102211009991. The next prime is 11102211010027. The reversal of 11102211010000 is 1011220111.

It can be written as a sum of positive squares in 10 ways, for example, as 3183997709376 + 7918213300624 = 1784376^2 + 2813932^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 819163224 + ... + 819176776.

Almost surely, 2^{11102211010000} is an apocalyptic number.

11102211010000 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 11102211010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795564792778).

11102211010000 is an abundant number, since it is smaller than the sum of its proper divisors (18488918575556).

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

11102211010000 is a wasteful number, since it uses less digits than its factorization.

11102211010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11102211010000 its reverse (1011220111), we get a palindrome (11103222230111).

The spelling of 11102211010000 in words is "eleven trillion, one hundred two billion, two hundred eleven million, ten thousand".