332100201032001 has 24 divisors (see below), whose sum is σ = 509653617007080. Its totient is φ = 207988196726016.

The previous prime is 332100201031913. The next prime is 332100201032057. The reversal of 332100201032001 is 100230102001233.

332100201032001 is a `hidden beast` number, since 3 + 321 + 0 + 0 + 20 + 1 + 0 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191554457702400 + 140545743329601 = 13840320^2 + 11855199^2 .

It is not a de Polignac number, because 332100201032001 - 2²⁵ = 332100167477569 is a prime.

It is a super-2 number, since 2×332100201032001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332100201032081) 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 23 ways as a sum of consecutive naturals, for example, 17194781740 + ... + 17194801053.

It is an arithmetic number, because the mean of its divisors is an integer number (21235567375295).

Almost surely, 2^{332100201032001} is an apocalyptic number.

It is an amenable number.

332100201032001 is a deficient number, since it is larger than the sum of its proper divisors (177553415975079).

332100201032001 is a wasteful number, since it uses less digits than its factorization.

332100201032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34389582865 (or 34389582862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332100201032001 its reverse (100230102001233), we get a palindrome (432330303033234).

The spelling of 332100201032001 in words is "three hundred thirty-two trillion, one hundred billion, two hundred one million, thirty-two thousand, one".