10202011220081 has 2 divisors, whose sum is σ = 10202011220082. Its totient is φ = 10202011220080.

The previous prime is 10202011220077. The next prime is 10202011220099. The reversal of 10202011220081 is 18002211020201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9824964870400 + 377046349681 = 3134480^2 + 614041^2 .

It is an emirp because it is prime and its reverse (18002211020201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202011220081 - 2² = 10202011220077 is a prime.

It is a super-2 number, since 2×10202011220081² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10202011220381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101005610040 + 5101005610041.

It is an arithmetic number, because the mean of its divisors is an integer number (5101005610041).

Almost surely, 2^{10202011220081} is an apocalyptic number.

It is an amenable number.

10202011220081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202011220081 is an equidigital number, since it uses as much as digits as its factorization.

10202011220081 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 10202011220081 its reverse (18002211020201), we get a palindrome (28204222240282).

The spelling of 10202011220081 in words is "ten trillion, two hundred two billion, eleven million, two hundred twenty thousand, eighty-one".