101111020121081 has 2 divisors, whose sum is σ = 101111020121082. Its totient is φ = 101111020121080.

The previous prime is 101111020121071. The next prime is 101111020121131. The reversal of 101111020121081 is 180121020111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81180009900025 + 19931010221056 = 9009995^2 + 4464416^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111020121081 - 2²⁶ = 101110953012217 is a prime.

It is a super-2 number, since 2×101111020121081² (a number of 29 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 (101111020121011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555510060540 + 50555510060541.

It is an arithmetic number, because the mean of its divisors is an integer number (50555510060541).

Almost surely, 2^{101111020121081} is an apocalyptic number.

It is an amenable number.

101111020121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111020121081 is an equidigital number, since it uses as much as digits as its factorization.

101111020121081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 101111020121081 its reverse (180121020111101), we get a palindrome (281232040232182).

It can be divided in two parts, 101111020 and 121081, that added together give a palindrome (101232101).

The spelling of 101111020121081 in words is "one hundred one trillion, one hundred eleven billion, twenty million, one hundred twenty-one thousand, eighty-one".