11010102221100 has 144 divisors (see below), whose sum is σ = 32863585707008. Its totient is φ = 2843864328960.

The previous prime is 11010102221029. The next prime is 11010102221147. The reversal of 11010102221100 is 112220101011.

11010102221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 251307 + ... + 4699293.

Almost surely, 2^{11010102221100} is an apocalyptic number.

11010102221100 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 11010102221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431792853504).

11010102221100 is an abundant number, since it is smaller than the sum of its proper divisors (21853483485908).

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

11010102221100 is a wasteful number, since it uses less digits than its factorization.

11010102221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448264 (or 4448257 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11010102221100 its reverse (112220101011), we get a palindrome (11122322322111).

The spelling of 11010102221100 in words is "eleven trillion, ten billion, one hundred two million, two hundred twenty-one thousand, one hundred".