11200122010001 has 16 divisors (see below), whose sum is σ = 11664566992848. Its totient is φ = 10744883020800.

The previous prime is 11200122009949. The next prime is 11200122010009. The reversal of 11200122010001 is 10001022100211.

It can be written as a sum of positive squares in 8 ways, for example, as 9323550795601 + 1876571214400 = 3053449^2 + 1369880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11200122010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11200122010009) 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, 8576555 + ... + 9795791.

It is an arithmetic number, because the mean of its divisors is an integer number (729035437053).

Almost surely, 2^{11200122010001} is an apocalyptic number.

It is an amenable number.

11200122010001 is a deficient number, since it is larger than the sum of its proper divisors (464444982847).

11200122010001 is a wasteful number, since it uses less digits than its factorization.

11200122010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223012.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11200122010001 its reverse (10001022100211), we get a palindrome (21201144110212).

The spelling of 11200122010001 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, ten thousand, one".