1101201122120 has 96 divisors (see below), whose sum is σ = 2726526935160. Its totient is φ = 399980697600.

The previous prime is 1101201122101. The next prime is 1101201122179. The reversal of 1101201122120 is 212211021011.

It can be written as a sum of positive squares in 4 ways, for example, as 786800932324 + 314400189796 = 887018^2 + 560714^2 .

It is a super-2 number, since 2×1101201122120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101201122095 and 1101201122104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4134914 + ... + 4393166.

Almost surely, 2^{1101201122120} is an apocalyptic number.

1101201122120 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 1101201122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363263467580).

1101201122120 is an abundant number, since it is smaller than the sum of its proper divisors (1625325813040).

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

1101201122120 is a wasteful number, since it uses less digits than its factorization.

1101201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259167 (or 259152 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1101201122120 its reverse (212211021011), we get a palindrome (1313412143131).

The spelling of 1101201122120 in words is "one trillion, one hundred one billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".