10001101200021 has 12 divisors (see below), whose sum is σ = 14836468447372. Its totient is φ = 6487200778176.

The previous prime is 10001101200019. The next prime is 10001101200031. The reversal of 10001101200021 is 12000210110001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5721329124900 + 4279772075121 = 2391930^2 + 2068761^2 .

It is not a de Polignac number, because 10001101200021 - 2¹ = 10001101200019 is a prime.

It is a super-2 number, since 2×10001101200021² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001101199976 and 10001101200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101200031) 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, 15016668136 + ... + 15016668801.

Almost surely, 2^{10001101200021} is an apocalyptic number.

It is an amenable number.

10001101200021 is a deficient number, since it is larger than the sum of its proper divisors (4835367247351).

10001101200021 is a wasteful number, since it uses less digits than its factorization.

10001101200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30033336980 (or 30033336977 counting only the distinct ones).

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

Adding to 10001101200021 its reverse (12000210110001), we get a palindrome (22001311310022).

The spelling of 10001101200021 in words is "ten trillion, one billion, one hundred one million, two hundred thousand, twenty-one".