101102122012081 has 2 divisors, whose sum is σ = 101102122012082. Its totient is φ = 101102122012080.

The previous prime is 101102122012069. The next prime is 101102122012091. The reversal of 101102122012081 is 180210221201101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92443321415025 + 8658800597056 = 9614745^2 + 2942584^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102122012081 - 2²⁵ = 101102088457649 is a prime.

It is a super-2 number, since 2×101102122012081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101102122012091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551061006040 + 50551061006041.

It is an arithmetic number, because the mean of its divisors is an integer number (50551061006041).

Almost surely, 2^{101102122012081} is an apocalyptic number.

It is an amenable number.

101102122012081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102122012081 is an equidigital number, since it uses as much as digits as its factorization.

101102122012081 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 22.

Adding to 101102122012081 its reverse (180210221201101), we get a palindrome (281312343213182).

The spelling of 101102122012081 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-two million, twelve thousand, eighty-one".