12111012100100 has 72 divisors (see below), whose sum is σ = 27196035774600. Its totient is φ = 4675824921600.

The previous prime is 12111012100087. The next prime is 12111012100183. The reversal of 12111012100100 is 100121011121.

It can be written as a sum of positive squares in 12 ways, for example, as 264033600964 + 11846978499136 = 513842^2 + 3441944^2 .

It is a super-2 number, since 2×12111012100100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8194736 + ... + 9559064.

Almost surely, 2^{12111012100100} is an apocalyptic number.

12111012100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111012100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598017887300).

12111012100100 is an abundant number, since it is smaller than the sum of its proper divisors (15085023674500).

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

12111012100100 is a wasteful number, since it uses less digits than its factorization.

12111012100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367433 (or 1367426 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12111012100100 its reverse (100121011121), we get a palindrome (12211133111221).

The spelling of 12111012100100 in words is "twelve trillion, one hundred eleven billion, twelve million, one hundred thousand, one hundred".