11102111021100 has 144 divisors (see below), whose sum is σ = 35485873758720. Its totient is φ = 2657352172800.

The previous prime is 11102111021087. The next prime is 11102111021147. The reversal of 11102111021100 is 112011120111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21032187 + ... + 21553586.

It is an arithmetic number, because the mean of its divisors is an integer number (246429678880).

Almost surely, 2^{11102111021100} is an apocalyptic number.

11102111021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102111021100 is an abundant number, since it is smaller than the sum of its proper divisors (24383762737620).

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

11102111021100 is a wasteful number, since it uses less digits than its factorization.

11102111021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42585880 (or 42585873 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11102111021100 its reverse (112011120111), we get a palindrome (11214122141211).

It can be divided in two parts, 111021 and 11021100, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 11102111021100 in words is "eleven trillion, one hundred two billion, one hundred eleven million, twenty-one thousand, one hundred".