1120032102100 has 72 divisors (see below), whose sum is σ = 2573727880248. Its totient is φ = 421611724800.

The previous prime is 1120032102097. The next prime is 1120032102143. The reversal of 1120032102100 is 12012300211.

It can be written as a sum of positive squares in 12 ways, for example, as 19014203664 + 1101017898436 = 137892^2 + 1049294^2 .

It is a congruent number.

It is an unprimeable number.

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, 17534220 + ... + 17597980.

It is an arithmetic number, because the mean of its divisors is an integer number (35746220559).

Almost surely, 2^{1120032102100} is an apocalyptic number.

1120032102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120032102100 is an abundant number, since it is smaller than the sum of its proper divisors (1453695778148).

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

1120032102100 is a wasteful number, since it uses less digits than its factorization.

1120032102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74125 (or 74118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1120032102100 its reverse (12012300211), we get a palindrome (1132044402311).

The spelling of 1120032102100 in words is "one trillion, one hundred twenty billion, thirty-two million, one hundred two thousand, one hundred".