10132112661 has 64 divisors (see below), whose sum is σ = 15464908800. Its totient is φ = 5846480640.

The previous prime is 10132112621. The next prime is 10132112779. The reversal of 10132112661 is 16621123101.

It is a happy number.

It is not a de Polignac number, because 10132112661 - 2¹³ = 10132104469 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132112621) 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 63 ways as a sum of consecutive naturals, for example, 14965855 + ... + 14966531.

It is an arithmetic number, because the mean of its divisors is an integer number (241639200).

Almost surely, 2^10132112661 is an apocalyptic number.

10132112661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10132112661 is a deficient number, since it is larger than the sum of its proper divisors (5332796139).

10132112661 is a wasteful number, since it uses less digits than its factorization.

10132112661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 10132112661 its reverse (16621123101), we get a palindrome (26753235762).

The spelling of 10132112661 in words is "ten billion, one hundred thirty-two million, one hundred twelve thousand, six hundred sixty-one".