1102001124112 has 160 divisors (see below), whose sum is σ = 2603244096000. Its totient is φ = 441150603264.

The previous prime is 1102001124101. The next prime is 1102001124113. The reversal of 1102001124112 is 2114211002011.

It is a super-2 number, since 2×1102001124112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1102001124113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164991589 + ... + 164998267.

It is an arithmetic number, because the mean of its divisors is an integer number (16270275600).

Almost surely, 2^{1102001124112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102001124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301622048000).

1102001124112 is an abundant number, since it is smaller than the sum of its proper divisors (1501242971888).

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

1102001124112 is a wasteful number, since it uses less digits than its factorization.

1102001124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1102001124112 its reverse (2114211002011), we get a palindrome (3216212126123).

The spelling of 1102001124112 in words is "one trillion, one hundred two billion, one million, one hundred twenty-four thousand, one hundred twelve".