20101102220081 has 2 divisors, whose sum is σ = 20101102220082. Its totient is φ = 20101102220080.

The previous prime is 20101102220063. The next prime is 20101102220209. The reversal of 20101102220081 is 18002220110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10521557253025 + 9579544967056 = 3243695^2 + 3095084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20101102220081 is a prime.

It is a super-2 number, since 2×20101102220081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20101102220051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050551110040 + 10050551110041.

It is an arithmetic number, because the mean of its divisors is an integer number (10050551110041).

Almost surely, 2^{20101102220081} is an apocalyptic number.

It is an amenable number.

20101102220081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101102220081 is an equidigital number, since it uses as much as digits as its factorization.

20101102220081 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20101102220081 its reverse (18002220110102), we get a palindrome (38103322330183).

The spelling of 20101102220081 in words is "twenty trillion, one hundred one billion, one hundred two million, two hundred twenty thousand, eighty-one".