22112212100101 has 2 divisors, whose sum is σ = 22112212100102. Its totient is φ = 22112212100100.

The previous prime is 22112212099993. The next prime is 22112212100107. The reversal of 22112212100101 is 10100121221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21231138891076 + 881073209025 = 4607726^2 + 938655^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112212100101 - 2⁹ = 22112212099589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22112212100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056106050050 + 11056106050051.

It is an arithmetic number, because the mean of its divisors is an integer number (11056106050051).

Almost surely, 2^{22112212100101} is an apocalyptic number.

It is an amenable number.

22112212100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112212100101 is an equidigital number, since it uses as much as digits as its factorization.

22112212100101 is an evil number, because the sum of its binary digits is even.

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

Adding to 22112212100101 its reverse (10100121221122), we get a palindrome (32212333321223).

The spelling of 22112212100101 in words is "twenty-two trillion, one hundred twelve billion, two hundred twelve million, one hundred thousand, one hundred one".