101022102110081 has 2 divisors, whose sum is σ = 101022102110082. Its totient is φ = 101022102110080.

The previous prime is 101022102110057. The next prime is 101022102110101. The reversal of 101022102110081 is 180011201220101.

It is a happy number.

It is an a-pointer prime, because the next prime (101022102110101) can be obtained adding 101022102110081 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58521872701681 + 42500229408400 = 7649959^2 + 6519220^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022102110081 - 2³⁸ = 100747224203137 is a prime.

It is a super-2 number, since 2×101022102110081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101822102110081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511051055040 + 50511051055041.

It is an arithmetic number, because the mean of its divisors is an integer number (50511051055041).

Almost surely, 2^{101022102110081} is an apocalyptic number.

It is an amenable number.

101022102110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022102110081 is an equidigital number, since it uses as much as digits as its factorization.

101022102110081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 101022102110081 its reverse (180011201220101), we get a palindrome (281033303330182).

The spelling of 101022102110081 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred ten thousand, eighty-one".