1018668101 has 32 divisors (see below), whose sum is σ = 1204035840. Its totient is φ = 851558400.

The previous prime is 1018668037. The next prime is 1018668149.

1018668101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1018668101 - 2⁶ = 1018668037 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 (1018668901) 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, 1614056 + ... + 1614686.

It is an arithmetic number, because the mean of its divisors is an integer number (37626120).

Almost surely, 2^1018668101 is an apocalyptic number.

1018668101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1018668101 is a deficient number, since it is larger than the sum of its proper divisors (185367739).

1018668101 is a wasteful number, since it uses less digits than its factorization.

1018668101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 2304, while the sum is 32.

The square root of 1018668101 is about 31916.5803462714. The cubic root of 1018668101 is about 1006.1843749957.

It can be divided in two parts, 10186 and 68101, that added together give a palindrome (78287).

The spelling of 1018668101 in words is "one billion, eighteen million, six hundred sixty-eight thousand, one hundred one".