200101102001331 has 16 divisors (see below), whose sum is σ = 273214418918400. Its totient is φ = 130232206323648.

The previous prime is 200101102001261. The next prime is 200101102001393. The reversal of 200101102001331 is 133100201101002.

It is a happy number.

It is not a de Polignac number, because 200101102001331 - 2¹³ = 200101101993139 is a prime.

It is a super-3 number, since 3×200101102001331³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 200101102001331.

It is not an unprimeable number, because it can be changed into a prime (200101102001831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4743284791 + ... + 4743326976.

It is an arithmetic number, because the mean of its divisors is an integer number (17075901182400).

Almost surely, 2^{200101102001331} is an apocalyptic number.

200101102001331 is a deficient number, since it is larger than the sum of its proper divisors (73113316917069).

200101102001331 is an equidigital number, since it uses as much as digits as its factorization.

200101102001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486611938.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 200101102001331 its reverse (133100201101002), we get a palindrome (333201303102333).

The spelling of 200101102001331 in words is "two hundred trillion, one hundred one billion, one hundred two million, one thousand, three hundred thirty-one".