11202122101100 has 72 divisors (see below), whose sum is σ = 27781904031840. Its totient is φ = 3840638929920.

The previous prime is 11202122101067. The next prime is 11202122101109. The reversal of 11202122101100 is 110122120211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11202122101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34930682 + ... + 35249918.

It is an arithmetic number, because the mean of its divisors is an integer number (385859778220).

Almost surely, 2^{11202122101100} is an apocalyptic number.

11202122101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202122101100 is an abundant number, since it is smaller than the sum of its proper divisors (16579781930740).

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

11202122101100 is a wasteful number, since it uses less digits than its factorization.

11202122101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369387 (or 369380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11202122101100 its reverse (110122120211), we get a palindrome (11312244221311).

The spelling of 11202122101100 in words is "eleven trillion, two hundred two billion, one hundred twenty-two million, one hundred one thousand, one hundred".