11100121002012 has 192 divisors, whose sum is σ = 32075861013504. Its totient is φ = 2914992783360.

The previous prime is 11100121002011. The next prime is 11100121002023. The reversal of 11100121002012 is 21020012100111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100121002011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 483422212 + ... + 483445172.

It is an arithmetic number, because the mean of its divisors is an integer number (167061776112).

Almost surely, 2^{11100121002012} is an apocalyptic number.

11100121002012 is a gapful number since it is divisible by the number (12) 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 11100121002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16037930506752).

11100121002012 is an abundant number, since it is smaller than the sum of its proper divisors (20975740011492).

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

11100121002012 is a wasteful number, since it uses less digits than its factorization.

11100121002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30908 (or 30906 counting only the distinct ones).

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

Adding to 11100121002012 its reverse (21020012100111), we get a palindrome (32120133102123).

The spelling of 11100121002012 in words is "eleven trillion, one hundred billion, one hundred twenty-one million, two thousand, twelve".