2032420300100 has 72 divisors (see below), whose sum is σ = 4670510396328. Its totient is φ = 765027532800.

The previous prime is 2032420300087. The next prime is 2032420300121. The reversal of 2032420300100 is 10030242302.

It can be written as a sum of positive squares in 12 ways, for example, as 358983119104 + 1673437180996 = 599152^2 + 1293614^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 11254520 + ... + 11433680.

It is an arithmetic number, because the mean of its divisors is an integer number (64868199949).

Almost surely, 2^{2032420300100} is an apocalyptic number.

2032420300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032420300100 is an abundant number, since it is smaller than the sum of its proper divisors (2638090096228).

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

2032420300100 is a wasteful number, since it uses less digits than its factorization.

2032420300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185865 (or 185858 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2032420300100 its reverse (10030242302), we get a palindrome (2042450542402).

The spelling of 2032420300100 in words is "two trillion, thirty-two billion, four hundred twenty million, three hundred thousand, one hundred".