22200010101001 has 2 divisors, whose sum is σ = 22200010101002. Its totient is φ = 22200010101000.

The previous prime is 22200010100929. The next prime is 22200010101013. The reversal of 22200010101001 is 10010101000222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19969288627401 + 2230721473600 = 4468701^2 + 1493560^2 .

It is a cyclic number.

It is not a de Polignac number, because 22200010101001 - 2²⁹ = 22199473230089 is a prime.

It is not a weakly prime, because it can be changed into another prime (22200010101701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11100005050500 + 11100005050501.

It is an arithmetic number, because the mean of its divisors is an integer number (11100005050501).

Almost surely, 2^{22200010101001} is an apocalyptic number.

It is an amenable number.

22200010101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22200010101001 is an equidigital number, since it uses as much as digits as its factorization.

22200010101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22200010101001 its reverse (10010101000222), we get a palindrome (32210111101223).

The spelling of 22200010101001 in words is "twenty-two trillion, two hundred billion, ten million, one hundred one thousand, one".