10000201101 has 16 divisors (see below), whose sum is σ = 14634992640. Its totient is φ = 6023542320.

The previous prime is 10000201039. The next prime is 10000201117. The reversal of 10000201101 is 10110200001.

10000201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000201101 - 2¹⁸ = 9999938957 is a prime.

It is a super-2 number, since 2×10000201101² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000201121) 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 15 ways as a sum of consecutive naturals, for example, 924181 + ... + 934938.

It is an arithmetic number, because the mean of its divisors is an integer number (914687040).

Almost surely, 2^10000201101 is an apocalyptic number.

10000201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000201101 is a deficient number, since it is larger than the sum of its proper divisors (4634791539).

10000201101 is a wasteful number, since it uses less digits than its factorization.

10000201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859296.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000201101 its reverse (10110200001), we get a palindrome (20110401102).

The spelling of 10000201101 in words is "ten billion, two hundred one thousand, one hundred one".