11022101102100 has 288 divisors, whose sum is σ = 35129576563200. Its totient is φ = 2646033984000.

The previous prime is 11022101102059. The next prime is 11022101102123. The reversal of 11022101102100 is 120110122011.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 162718839 + ... + 162786561.

It is an arithmetic number, because the mean of its divisors is an integer number (121977696400).

Almost surely, 2^{11022101102100} is an apocalyptic number.

11022101102100 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 11022101102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564788281600).

11022101102100 is an abundant number, since it is smaller than the sum of its proper divisors (24107475461100).

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

11022101102100 is a wasteful number, since it uses less digits than its factorization.

11022101102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68231 (or 68224 counting only the distinct ones).

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

Adding to 11022101102100 its reverse (120110122011), we get a palindrome (11142211224111).

The spelling of 11022101102100 in words is "eleven trillion, twenty-two billion, one hundred one million, one hundred two thousand, one hundred".