11221100212001 has 16 divisors (see below), whose sum is σ = 12291099051600. Its totient is φ = 10196663758848.

The previous prime is 11221100211917. The next prime is 11221100212009. The reversal of 11221100212001 is 10021200112211.

It can be written as a sum of positive squares in 8 ways, for example, as 2377471029025 + 8843629182976 = 1541905^2 + 2973824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11221100212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11221100212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29128835 + ... + 29511543.

It is an arithmetic number, because the mean of its divisors is an integer number (768193690725).

Almost surely, 2^{11221100212001} is an apocalyptic number.

It is an amenable number.

11221100212001 is a deficient number, since it is larger than the sum of its proper divisors (1069998839599).

11221100212001 is a wasteful number, since it uses less digits than its factorization.

11221100212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442228.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221100212001 its reverse (10021200112211), we get a palindrome (21242300324212).

The spelling of 11221100212001 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, two hundred twelve thousand, one".