11211220212001 has 8 divisors (see below), whose sum is σ = 11268385065000. Its totient is φ = 11154198451200.

The previous prime is 11211220211969. The next prime is 11211220212007. The reversal of 11211220212001 is 10021202211211.

It can be written as a sum of positive squares in 4 ways, for example, as 1468456816401 + 9742763395600 = 1211799^2 + 3121340^2 .

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 11211220212001 - 2⁵ = 11211220211969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11211220212007) 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 7 ways as a sum of consecutive naturals, for example, 35615950 + ... + 35929351.

It is an arithmetic number, because the mean of its divisors is an integer number (1408548133125).

Almost surely, 2^{11211220212001} is an apocalyptic number.

It is an amenable number.

11211220212001 is a deficient number, since it is larger than the sum of its proper divisors (57164852999).

11211220212001 is an equidigital number, since it uses as much as digits as its factorization.

11211220212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71546099.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11211220212001 its reverse (10021202211211), we get a palindrome (21232422423212).

The spelling of 11211220212001 in words is "eleven trillion, two hundred eleven billion, two hundred twenty million, two hundred twelve thousand, one".