101615261661 has 24 divisors (see below), whose sum is σ = 155436745464. Its totient is φ = 63748270080.

The previous prime is 101615261641. The next prime is 101615261669. The reversal of 101615261661 is 166162516101.

101615261661 is a `hidden beast` number, since 1 + 0 + 1 + 61 + 526 + 16 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26268305625 + 75346956036 = 162075^2 + 274494^2 .

It is not a de Polignac number, because 101615261661 - 2⁹ = 101615261149 is a prime.

It is a super-2 number, since 2×101615261661² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101615261669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955791 + ... + 1056771.

It is an arithmetic number, because the mean of its divisors is an integer number (6476531061).

Almost surely, 2^101615261661 is an apocalyptic number.

It is an amenable number.

101615261661 is a deficient number, since it is larger than the sum of its proper divisors (53821483803).

101615261661 is a wasteful number, since it uses less digits than its factorization.

101615261661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107581 (or 107578 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 101615261661 its reverse (166162516101), we get a palindrome (267777777762).

The spelling of 101615261661 in words is "one hundred one billion, six hundred fifteen million, two hundred sixty-one thousand, six hundred sixty-one".