22200211100101 has 2 divisors, whose sum is σ = 22200211100102. Its totient is φ = 22200211100100.

The previous prime is 22200211100077. The next prime is 22200211100113. The reversal of 22200211100101 is 10100111200222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21588577615201 + 611633484900 = 4646351^2 + 782070^2 .

It is a cyclic number.

It is not a de Polignac number, because 22200211100101 - 2¹⁷ = 22200210969029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22200211100141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11100105550050 + 11100105550051.

It is an arithmetic number, because the mean of its divisors is an integer number (11100105550051).

Almost surely, 2^{22200211100101} is an apocalyptic number.

It is an amenable number.

22200211100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22200211100101 is an equidigital number, since it uses as much as digits as its factorization.

22200211100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22200211100101 its reverse (10100111200222), we get a palindrome (32300322300323).

The spelling of 22200211100101 in words is "twenty-two trillion, two hundred billion, two hundred eleven million, one hundred thousand, one hundred one".