1102011121120 has 144 divisors (see below), whose sum is σ = 3261529369728. Its totient is φ = 348768322560.

The previous prime is 1102011121117. The next prime is 1102011121129. The reversal of 1102011121120 is 211211102011.

It is a happy number.

It is a super-2 number, since 2×1102011121120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1102011121120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102011121129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5304336 + ... + 5508175.

It is an arithmetic number, because the mean of its divisors is an integer number (22649509512).

Almost surely, 2^{1102011121120} is an apocalyptic number.

1102011121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102011121120 is an abundant number, since it is smaller than the sum of its proper divisors (2159518248608).

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

1102011121120 is a wasteful number, since it uses less digits than its factorization.

1102011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812553 (or 10812538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1102011121120 its reverse (211211102011), we get a palindrome (1313222223131).

It can be divided in two parts, 110201 and 1121120, that added together give a palindrome (1231321).

The spelling of 1102011121120 in words is "one trillion, one hundred two billion, eleven million, one hundred twenty-one thousand, one hundred twenty".