4201323304100 has 72 divisors (see below), whose sum is σ = 10057637056488. Its totient is φ = 1513422259200.

The previous prime is 4201323304043. The next prime is 4201323304121. The reversal of 4201323304100 is 14033231024.

It can be written as a sum of positive squares in 12 ways, for example, as 2266909651876 + 1934413652224 = 1505626^2 + 1390832^2 .

It is a super-2 number, since 2×4201323304100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39358739 + ... + 39465338.

Almost surely, 2^{4201323304100} is an apocalyptic number.

It is an amenable number.

4201323304100 is an abundant number, since it is smaller than the sum of its proper divisors (5856313752388).

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

4201323304100 is a wasteful number, since it uses less digits than its factorization.

4201323304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78824145 (or 78824138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 4201323304100 its reverse (14033231024), we get a palindrome (4215356535124).

The spelling of 4201323304100 in words is "four trillion, two hundred one billion, three hundred twenty-three million, three hundred four thousand, one hundred".