11100102012120 has 512 divisors, whose sum is σ = 37305780940800. Its totient is φ = 2619530496000.

The previous prime is 11100102012061. The next prime is 11100102012173. The reversal of 11100102012120 is 2121020100111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100102012096 and 11100102012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7029829491 + ... + 7029831069.

It is an arithmetic number, because the mean of its divisors is an integer number (72862853400).

Almost surely, 2^{11100102012120} is an apocalyptic number.

11100102012120 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 11100102012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652890470400).

11100102012120 is an abundant number, since it is smaller than the sum of its proper divisors (26205678928680).

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

11100102012120 is a wasteful number, since it uses less digits than its factorization.

11100102012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2555 counting only the distinct ones).

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

Adding to 11100102012120 its reverse (2121020100111), we get a palindrome (13221122112231).

The spelling of 11100102012120 in words is "eleven trillion, one hundred billion, one hundred two million, twelve thousand, one hundred twenty".