1032111101104 has 80 divisors (see below), whose sum is σ = 2129052794400. Its totient is φ = 483018780672.

The previous prime is 1032111101089. The next prime is 1032111101107. The reversal of 1032111101104 is 4011011112301.

It is a super-2 number, since 2×1032111101104² (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 (1032111101107) 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 15 ways as a sum of consecutive naturals, for example, 56486082 + ... + 56504350.

It is an arithmetic number, because the mean of its divisors is an integer number (26613159930).

Almost surely, 2^{1032111101104} 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 1032111101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064526397200).

1032111101104 is an abundant number, since it is smaller than the sum of its proper divisors (1096941693296).

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

1032111101104 is a wasteful number, since it uses less digits than its factorization.

1032111101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19430 (or 19424 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1032111101104 its reverse (4011011112301), we get a palindrome (5043122213405).

The spelling of 1032111101104 in words is "one trillion, thirty-two billion, one hundred eleven million, one hundred one thousand, one hundred four".