101200202010001 has 16 divisors (see below), whose sum is σ = 106853002675200. Its totient is φ = 95580073947600.

The previous prime is 101200202009999. The next prime is 101200202010049. The reversal of 101200202010001 is 100010202002101.

It is a cyclic number.

It is not a de Polignac number, because 101200202010001 - 2¹ = 101200202009999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101200202010001.

It is not an unprimeable number, because it can be changed into a prime (101200202010101) 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 15 ways as a sum of consecutive naturals, for example, 149535540 + ... + 150210778.

It is an arithmetic number, because the mean of its divisors is an integer number (6678312667200).

Almost surely, 2^{101200202010001} is an apocalyptic number.

It is an amenable number.

101200202010001 is a deficient number, since it is larger than the sum of its proper divisors (5652800665199).

101200202010001 is a wasteful number, since it uses less digits than its factorization.

101200202010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699420.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101200202010001 its reverse (100010202002101), we get a palindrome (201210404012102).

The spelling of 101200202010001 in words is "one hundred one trillion, two hundred billion, two hundred two million, ten thousand, one".