1018118101 has 32 divisors (see below), whose sum is σ = 1390233600. Its totient is φ = 719858880.

The previous prime is 1018118099. The next prime is 1018118137.

1018118101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1018118101 - 2¹ = 1018118099 is a prime.

1018118101 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 (1018118141) 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, 50440 + ... + 67678.

It is an arithmetic number, because the mean of its divisors is an integer number (43444800).

Almost surely, 2^1018118101 is an apocalyptic number.

1018118101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1018118101 is a deficient number, since it is larger than the sum of its proper divisors (372115499).

1018118101 is a wasteful number, since it uses less digits than its factorization.

1018118101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17329.

The product of its (nonzero) digits is 64, while the sum is 22.

The square root of 1018118101 is about 31907.9629716471. The cubic root of 1018118101 is about 1006.0032558025.

It can be divided in two parts, 10181 and 18101, that added together give a palindrome (28282).

The spelling of 1018118101 in words is "one billion, eighteen million, one hundred eighteen thousand, one hundred one".