20110222100081 has 2 divisors, whose sum is σ = 20110222100082. Its totient is φ = 20110222100080.

The previous prime is 20110222100011. The next prime is 20110222100083. The reversal of 20110222100081 is 18000122201102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11255461367056 + 8854760733025 = 3354916^2 + 2975695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20110222100081 is a prime.

It is a super-2 number, since 2×20110222100081² (a number of 27 digits) contains 22 as substring.

Together with 20110222100083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20110222100083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055111050040 + 10055111050041.

It is an arithmetic number, because the mean of its divisors is an integer number (10055111050041).

Almost surely, 2^{20110222100081} is an apocalyptic number.

It is an amenable number.

20110222100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110222100081 is an equidigital number, since it uses as much as digits as its factorization.

20110222100081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 20110222100081 its reverse (18000122201102), we get a palindrome (38110344301183).

The spelling of 20110222100081 in words is "twenty trillion, one hundred ten billion, two hundred twenty-two million, one hundred thousand, eighty-one".