1102012321032 has 72 divisors (see below), whose sum is σ = 3471901073550. Its totient is φ = 314860662144.

The previous prime is 1102012320961. The next prime is 1102012321037. The reversal of 1102012321032 is 2301232102011.

1102012321032 is a `hidden beast` number, since 110 + 201 + 2 + 321 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 651161846916 + 450850474116 = 806946^2 + 671454^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1102012320996 and 1102012321014.

It is not an unprimeable number, because it can be changed into a prime (1102012321037) 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 17 ways as a sum of consecutive naturals, for example, 156177357 + ... + 156184412.

Almost surely, 2^{1102012321032} is an apocalyptic number.

1102012321032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102012321032 is an abundant number, since it is smaller than the sum of its proper divisors (2369888752518).

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

1102012321032 is a wasteful number, since it uses less digits than its factorization.

1102012321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312361795 (or 312361781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1102012321032 its reverse (2301232102011), we get a palindrome (3403244423043).

The spelling of 1102012321032 in words is "one trillion, one hundred two billion, twelve million, three hundred twenty-one thousand, thirty-two".