101106055081 has 2 divisors, whose sum is σ = 101106055082. Its totient is φ = 101106055080.

The previous prime is 101106055033. The next prime is 101106055123. The reversal of 101106055081 is 180550601101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70150819600 + 30955235481 = 264860^2 + 175941^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106055081 - 2³⁵ = 66746316713 is a prime.

It is a super-2 number, since 2×101106055081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101106055021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553027540 + 50553027541.

It is an arithmetic number, because the mean of its divisors is an integer number (50553027541).

Almost surely, 2^101106055081 is an apocalyptic number.

It is an amenable number.

101106055081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106055081 is an equidigital number, since it uses as much as digits as its factorization.

101106055081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 28.

Adding to 101106055081 its reverse (180550601101), we get a palindrome (281656656182).

The spelling of 101106055081 in words is "one hundred one billion, one hundred six million, fifty-five thousand, eighty-one".