101102111 has 24 divisors (see below), whose sum is σ = 120174192. Its totient is φ = 84032000.

The previous prime is 101102107. The next prime is 101102137. The reversal of 101102111 is 111201101.

It is a happy number.

It is not a de Polignac number, because 101102111 - 2² = 101102107 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 (101102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000961 + ... + 1001061.

It is an arithmetic number, because the mean of its divisors is an integer number (5007258).

Almost surely, 2^101102111 is an apocalyptic number.

101102111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101102111 is a deficient number, since it is larger than the sum of its proper divisors (19072081).

101102111 is a wasteful number, since it uses less digits than its factorization.

101102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 101102111 is about 10054.9545498724. The cubic root of 101102111 is about 465.8578391413.

Adding to 101102111 its reverse (111201101), we get a palindrome (212303212).

It can be divided in two parts, 10110 and 2111, that added together give a palindrome (12221).

The spelling of 101102111 in words is "one hundred one million, one hundred two thousand, one hundred eleven".