10101661160 has 32 divisors (see below), whose sum is σ = 23040096840. Its totient is φ = 3985311744.

The previous prime is 10101661159. The next prime is 10101661169. The reversal of 10101661160 is 6116610101.

10101661160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8279908036 + 1821753124 = 90994^2 + 42682^2 .

It is not an unprimeable number, because it can be changed into a prime (10101661169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726817 + ... + 1732656.

Almost surely, 2^10101661160 is an apocalyptic number.

10101661160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101661160 is an abundant number, since it is smaller than the sum of its proper divisors (12938435680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101661160 is a wasteful number, since it uses less digits than its factorization.

10101661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459557 (or 3459553 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 10101661160 in words is "ten billion, one hundred one million, six hundred sixty-one thousand, one hundred sixty".