120100032001 has 2 divisors, whose sum is σ = 120100032002. Its totient is φ = 120100032000.

The previous prime is 120100031999. The next prime is 120100032047. The reversal of 120100032001 is 100230001021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96721622001 + 23378410000 = 311001^2 + 152900^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100032001 - 2¹ = 120100031999 is a prime.

Together with 120100031999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (120100032401) by changing a digit.

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 as a sum of consecutive naturals, namely, 60050016000 + 60050016001.

It is an arithmetic number, because the mean of its divisors is an integer number (60050016001).

Almost surely, 2^120100032001 is an apocalyptic number.

It is an amenable number.

120100032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120100032001 is an equidigital number, since it uses as much as digits as its factorization.

120100032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 120100032001 its reverse (100230001021), we get a palindrome (220330033022).

The spelling of 120100032001 in words is "one hundred twenty billion, one hundred million, thirty-two thousand, one".