1100201022120 has 256 divisors, whose sum is σ = 3518030880000. Its totient is φ = 274723577856.

The previous prime is 1100201022119. The next prime is 1100201022133. The reversal of 1100201022120 is 212201020011.

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 = 1100201022096 and 1100201022105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40288231 + ... + 40315529.

It is an arithmetic number, because the mean of its divisors is an integer number (13742308125).

Almost surely, 2^{1100201022120} is an apocalyptic number.

1100201022120 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 1100201022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759015440000).

1100201022120 is an abundant number, since it is smaller than the sum of its proper divisors (2417829857880).

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

1100201022120 is a wasteful number, since it uses less digits than its factorization.

1100201022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27692 (or 27688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100201022120 its reverse (212201020011), we get a palindrome (1312402042131).

The spelling of 1100201022120 in words is "one trillion, one hundred billion, two hundred one million, twenty-two thousand, one hundred twenty".