11102212100100 has 144 divisors (see below), whose sum is σ = 35136570490560. Its totient is φ = 2684229388800.

The previous prime is 11102212100081. The next prime is 11102212100101. The reversal of 11102212100100 is 100121220111.

It is a super-2 number, since 2×11102212100100² (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 not an unprimeable number, because it can be changed into a prime (11102212100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3278895 + ... + 5740694.

It is an arithmetic number, because the mean of its divisors is an integer number (244003961740).

Almost surely, 2^{11102212100100} is an apocalyptic number.

11102212100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102212100100 is an abundant number, since it is smaller than the sum of its proper divisors (24034358390460).

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

11102212100100 is a wasteful number, since it uses less digits than its factorization.

11102212100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019990 (or 9019983 counting only the distinct ones).

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

Adding to 11102212100100 its reverse (100121220111), we get a palindrome (11202333320211).

The spelling of 11102212100100 in words is "eleven trillion, one hundred two billion, two hundred twelve million, one hundred thousand, one hundred".