11201022101100 has 144 divisors (see below), whose sum is σ = 34902664086528. Its totient is φ = 2757061858560.

The previous prime is 11201022101077. The next prime is 11201022101189. The reversal of 11201022101100 is 110122010211.

It is a super-2 number, since 2×11201022101100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135159877 + ... + 135242723.

It is an arithmetic number, because the mean of its divisors is an integer number (242379611712).

Almost surely, 2^{11201022101100} is an apocalyptic number.

11201022101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201022101100 is an abundant number, since it is smaller than the sum of its proper divisors (23701641985428).

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

11201022101100 is a wasteful number, since it uses less digits than its factorization.

11201022101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117544 (or 117537 counting only the distinct ones).

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

Adding to 11201022101100 its reverse (110122010211), we get a palindrome (11311144111311).

The spelling of 11201022101100 in words is "eleven trillion, two hundred one billion, twenty-two million, one hundred one thousand, one hundred".