10001201220101 has 12 divisors (see below), whose sum is σ = 12528977353452. Its totient is φ = 7913038327488.

The previous prime is 10001201220061. The next prime is 10001201220119. The reversal of 10001201220101 is 10102210210001.

It can be written as a sum of positive squares in 2 ways, for example, as 618778890625 + 9382422329476 = 786625^2 + 3063074^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10001201220101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001201220151) 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, 7850235800 + ... + 7850237073.

It is an arithmetic number, because the mean of its divisors is an integer number (1044081446121).

Almost surely, 2^{10001201220101} is an apocalyptic number.

It is an amenable number.

10001201220101 is a deficient number, since it is larger than the sum of its proper divisors (2527776133351).

10001201220101 is a wasteful number, since it uses less digits than its factorization.

10001201220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15700472900 (or 15700472893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001201220101 its reverse (10102210210001), we get a palindrome (20103411430102).

The spelling of 10001201220101 in words is "ten trillion, one billion, two hundred one million, two hundred twenty thousand, one hundred one".