11122120102100 has 54 divisors (see below), whose sum is σ = 28075408898670. Its totient is φ = 3813298319040.

The previous prime is 11122120102097. The next prime is 11122120102151. The reversal of 11122120102100 is 120102122111.

It can be written as a sum of positive squares in 3 ways, for example, as 2262413073424 + 8859707028676 = 1504132^2 + 2976526^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1134905315 + ... + 1134915114.

It is an arithmetic number, because the mean of its divisors is an integer number (519914979605).

Almost surely, 2^{11122120102100} is an apocalyptic number.

11122120102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122120102100 is an abundant number, since it is smaller than the sum of its proper divisors (16953288796570).

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

11122120102100 is a wasteful number, since it uses less digits than its factorization.

11122120102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269820457 (or 2269820443 counting only the distinct ones).

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

Adding to 11122120102100 its reverse (120102122111), we get a palindrome (11242222224211).

The spelling of 11122120102100 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty million, one hundred two thousand, one hundred".