101200201032301 has 12 divisors (see below), whose sum is σ = 118180747761948. Its totient is φ = 86405507930112.

The previous prime is 101200201032263. The next prime is 101200201032313. The reversal of 101200201032301 is 103230102002101.

It can be written as a sum of positive squares in 2 ways, for example, as 98318528424900 + 2881672607401 = 9915570^2 + 1697549^2 .

It is not a de Polignac number, because 101200201032301 - 2⁴¹ = 99001177776749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200201032401) 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 in 11 ways as a sum of consecutive naturals, for example, 4018100686 + ... + 4018125871.

It is an arithmetic number, because the mean of its divisors is an integer number (9848395646829).

Almost surely, 2^{101200201032301} is an apocalyptic number.

It is an amenable number.

101200201032301 is a deficient number, since it is larger than the sum of its proper divisors (16980546729647).

101200201032301 is an equidigital number, since it uses as much as digits as its factorization.

101200201032301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036226828 (or 8036226821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101200201032301 its reverse (103230102002101), we get a palindrome (204430303034402).

The spelling of 101200201032301 in words is "one hundred one trillion, two hundred billion, two hundred one million, thirty-two thousand, three hundred one".