11100200121120 has 768 divisors, whose sum is σ = 39560752594944. Its totient is φ = 2592866304000.

The previous prime is 11100200121107. The next prime is 11100200121221. The reversal of 11100200121120 is 2112100200111.

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 = 11100200121096 and 11100200121105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7065689935 + ... + 7065691505.

It is an arithmetic number, because the mean of its divisors is an integer number (51511396608).

Almost surely, 2^{11100200121120} is an apocalyptic number.

11100200121120 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 11100200121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780376297472).

11100200121120 is an abundant number, since it is smaller than the sum of its proper divisors (28460552473824).

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

11100200121120 is a wasteful number, since it uses less digits than its factorization.

11100200121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2017 counting only the distinct ones).

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

Adding to 11100200121120 its reverse (2112100200111), we get a palindrome (13212300321231).

The spelling of 11100200121120 in words is "eleven trillion, one hundred billion, two hundred million, one hundred twenty-one thousand, one hundred twenty".