1010111661 has 32 divisors (see below), whose sum is σ = 1706382720. Its totient is φ = 585038592.

The previous prime is 1010111659. The next prime is 1010111671. The reversal of 1010111661 is 1661110101.

1010111661 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 1 + 1 + 661 = 666.

1010111661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010111661 - 2¹ = 1010111659 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 (1010111621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78675 + ... + 90608.

It is an arithmetic number, because the mean of its divisors is an integer number (53324460).

Almost surely, 2^1010111661 is an apocalyptic number.

It is an amenable number.

1010111661 is a deficient number, since it is larger than the sum of its proper divisors (696271059).

1010111661 is a wasteful number, since it uses less digits than its factorization.

1010111661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169322 (or 169316 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1010111661 is about 31782.2538691012. The cubic root of 1010111661 is about 1003.3592564270.

Adding to 1010111661 its reverse (1661110101), we get a palindrome (2671221762).

The spelling of 1010111661 in words is "one billion, ten million, one hundred eleven thousand, six hundred sixty-one".