1102011201120 has 96 divisors (see below), whose sum is σ = 3471647800320. Its totient is φ = 293843197440.

The previous prime is 1102011201101. The next prime is 1102011201149. The reversal of 1102011201120 is 211021102011.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1102011201096 and 1102011201105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5556465 + ... + 5751375.

It is an arithmetic number, because the mean of its divisors is an integer number (36162997920).

Almost surely, 2^{1102011201120} is an apocalyptic number.

1102011201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102011201120 is an abundant number, since it is smaller than the sum of its proper divisors (2369636599200).

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

1102011201120 is a wasteful number, since it uses less digits than its factorization.

1102011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206708 (or 206700 counting only the distinct ones).

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

Adding to 1102011201120 its reverse (211021102011), we get a palindrome (1313032303131).

The spelling of 1102011201120 in words is "one trillion, one hundred two billion, eleven million, two hundred one thousand, one hundred twenty".