101021011081 has 2 divisors, whose sum is σ = 101021011082. Its totient is φ = 101021011080.

The previous prime is 101021011057. The next prime is 101021011111. The reversal of 101021011081 is 180110120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66977440000 + 34043571081 = 258800^2 + 184509^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021011081 - 2⁹ = 101021010569 is a prime.

It is a super-3 number, since 3×101021011081³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (101021011381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510505540 + 50510505541.

It is an arithmetic number, because the mean of its divisors is an integer number (50510505541).

Almost surely, 2^101021011081 is an apocalyptic number.

It is an amenable number.

101021011081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021011081 is an equidigital number, since it uses as much as digits as its factorization.

101021011081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101021011081 its reverse (180110120101), we get a palindrome (281131131182).

The spelling of 101021011081 in words is "one hundred one billion, twenty-one million, eleven thousand, eighty-one".