11022100010001 has 24 divisors (see below), whose sum is σ = 16309423264680. Its totient is φ = 7168713811200.

The previous prime is 11022100009957. The next prime is 11022100010059. The reversal of 11022100010001 is 10001000122011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2681168400 + 11019418841601 = 51780^2 + 3319551^2 .

It is not a de Polignac number, because 11022100010001 - 2¹⁷ = 11022099878929 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (11022100010071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22361515 + ... + 22849103.

It is an arithmetic number, because the mean of its divisors is an integer number (679559302695).

Almost surely, 2^{11022100010001} is an apocalyptic number.

It is an amenable number.

11022100010001 is a deficient number, since it is larger than the sum of its proper divisors (5287323254679).

11022100010001 is a wasteful number, since it uses less digits than its factorization.

11022100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548897 (or 548894 counting only the distinct ones).

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

Adding to 11022100010001 its reverse (10001000122011), we get a palindrome (21023100132012).

The spelling of 11022100010001 in words is "eleven trillion, twenty-two billion, one hundred million, ten thousand, one".