11201101000100 has 72 divisors (see below), whose sum is σ = 26778596435136. Its totient is φ = 4032799600000.

The previous prime is 11201101000093. The next prime is 11201101000123. The reversal of 11201101000100 is 100010110211.

It is a happy number.

It is a super-2 number, since 2×11201101000100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50298896 + ... + 50521095.

It is an arithmetic number, because the mean of its divisors is an integer number (371924950488).

Almost surely, 2^{11201101000100} is an apocalyptic number.

11201101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201101000100 is an abundant number, since it is smaller than the sum of its proper divisors (15577495435036).

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

11201101000100 is a wasteful number, since it uses less digits than its factorization.

11201101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100820117 (or 100820110 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11201101000100 its reverse (100010110211), we get a palindrome (11301111110311).

The spelling of 11201101000100 in words is "eleven trillion, two hundred one billion, one hundred one million, one hundred", and thus it is an aban number.