10001221101 has 24 divisors (see below), whose sum is σ = 14873844024. Its totient is φ = 6471014400.

The previous prime is 10001221093. The next prime is 10001221103. The reversal of 10001221101 is 10112210001.

It is a happy number.

10001221101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3033145476 + 6968075625 = 55074^2 + 83475^2 .

It is not a de Polignac number, because 10001221101 - 2³ = 10001221093 is a prime.

It is a super-2 number, since 2×10001221101² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001221103) 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 23 ways as a sum of consecutive naturals, for example, 96085 + ... + 170981.

It is an arithmetic number, because the mean of its divisors is an integer number (619743501).

Almost surely, 2^10001221101 is an apocalyptic number.

It is an amenable number.

10001221101 is a deficient number, since it is larger than the sum of its proper divisors (4872622923).

10001221101 is a wasteful number, since it uses less digits than its factorization.

10001221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75341 (or 75338 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001221101 its reverse (10112210001), we get a palindrome (20113431102).

The spelling of 10001221101 in words is "ten billion, one million, two hundred twenty-one thousand, one hundred one".