101010101061 has 16 divisors (see below), whose sum is σ = 135077126144. Its totient is φ = 67141654704.

The previous prime is 101010101011. The next prime is 101010101063. The reversal of 101010101061 is 160101010101.

It is not a de Polignac number, because 101010101061 - 2¹⁵ = 101010068293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010101063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7373160 + ... + 7386846.

It is an arithmetic number, because the mean of its divisors is an integer number (8442320384).

Almost surely, 2^101010101061 is an apocalyptic number.

It is an amenable number.

101010101061 is a deficient number, since it is larger than the sum of its proper divisors (34067025083).

101010101061 is a wasteful number, since it uses less digits than its factorization.

101010101061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20760.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101010101061 its reverse (160101010101), we get a palindrome (261111111162).

The spelling of 101010101061 in words is "one hundred one billion, ten million, one hundred one thousand, sixty-one".