11121010012100 has 72 divisors (see below), whose sum is σ = 24697509258240. Its totient is φ = 4344666968320.

The previous prime is 11121010012081. The next prime is 11121010012109. The reversal of 11121010012100 is 121001012111.

It is not an unprimeable number, because it can be changed into a prime (11121010012109) 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, 218609 + ... + 4721208.

It is an arithmetic number, because the mean of its divisors is an integer number (343020961920).

Almost surely, 2^{11121010012100} is an apocalyptic number.

11121010012100 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 11121010012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348754629120).

11121010012100 is an abundant number, since it is smaller than the sum of its proper divisors (13576499246140).

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

11121010012100 is a wasteful number, since it uses less digits than its factorization.

11121010012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940357 (or 4940350 counting only the distinct ones).

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

Adding to 11121010012100 its reverse (121001012111), we get a palindrome (11242011024211).

The spelling of 11121010012100 in words is "eleven trillion, one hundred twenty-one billion, ten million, twelve thousand, one hundred".