11000212101001 has 8 divisors (see below), whose sum is σ = 11209664178504. Its totient is φ = 10790830427520.

The previous prime is 11000212100993. The next prime is 11000212101017. The reversal of 11000212101001 is 10010121200011.

It can be written as a sum of positive squares in 4 ways, for example, as 7091382591225 + 3908829509776 = 2662965^2 + 1977076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11000212101001 - 2³ = 11000212100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000212101031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17285490 + ... + 17910571.

It is an arithmetic number, because the mean of its divisors is an integer number (1401208022313).

Almost surely, 2^{11000212101001} is an apocalyptic number.

It is an amenable number.

11000212101001 is a deficient number, since it is larger than the sum of its proper divisors (209452077503).

11000212101001 is an equidigital number, since it uses as much as digits as its factorization.

11000212101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35202011.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11000212101001 its reverse (10010121200011), we get a palindrome (21010333301012).

The spelling of 11000212101001 in words is "eleven trillion, two hundred twelve million, one hundred one thousand, one".