101113111 has 12 divisors (see below), whose sum is σ = 114311880. Its totient is φ = 88593680.

The previous prime is 101113097. The next prime is 101113123. The reversal of 101113111 is 111311101.

It is not a de Polignac number, because 101113111 - 2¹¹ = 101111063 is a prime.

It is a super-2 number, since 2×101113111² = 20447722432196642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179316 + ... + 179878.

It is an arithmetic number, because the mean of its divisors is an integer number (9525990).

Almost surely, 2^101113111 is an apocalyptic number.

101113111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101113111 is a deficient number, since it is larger than the sum of its proper divisors (13198769).

101113111 is an frugal number, since it uses more digits than its factorization.

101113111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 10.

The square root of 101113111 is about 10055.5015290139. The cubic root of 101113111 is about 465.8747337783.

Adding to 101113111 its reverse (111311101), we get a palindrome (212424212).

The spelling of 101113111 in words is "one hundred one million, one hundred thirteen thousand, one hundred eleven".