11020202101100 has 288 divisors, whose sum is σ = 26193723494400. Its totient is φ = 4010065920000.

The previous prime is 11020202101031. The next prime is 11020202101163. The reversal of 11020202101100 is 110120202011.

11020202101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4253260805 + ... + 4253263395.

It is an arithmetic number, because the mean of its divisors is an integer number (90950428800).

Almost surely, 2^{11020202101100} is an apocalyptic number.

11020202101100 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 11020202101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096861747200).

11020202101100 is an abundant number, since it is smaller than the sum of its proper divisors (15173521393300).

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

11020202101100 is a wasteful number, since it uses less digits than its factorization.

11020202101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11020202101100 its reverse (110120202011), we get a palindrome (11130322303111).

The spelling of 11020202101100 in words is "eleven trillion, twenty billion, two hundred two million, one hundred one thousand, one hundred".