1018008101 has 16 divisors (see below), whose sum is σ = 1173055488. Its totient is φ = 874767600.

The previous prime is 1018008091. The next prime is 1018008107.

1018008101 is nontrivially palindromic in base 10.

1018008101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1018008101 - 2²² = 1013813797 is a prime.

1018008101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018008107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20051 + ... + 49376.

It is an arithmetic number, because the mean of its divisors is an integer number (73315968).

Almost surely, 2^1018008101 is an apocalyptic number.

1018008101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1018008101 is a deficient number, since it is larger than the sum of its proper divisors (155047387).

1018008101 is a wasteful number, since it uses less digits than its factorization.

1018008101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69512.

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 1018008101 is about 31906.2392174321. The cubic root of 1018008101 is about 1005.9670241369.

It can be divided in two parts, 101800 and 8101, that added together give a palindrome (109901).

The spelling of 1018008101 in words is "one billion, eighteen million, eight thousand, one hundred one".