102111101101 has 32 divisors (see below), whose sum is σ = 111630758400. Its totient is φ = 93078720000.

The previous prime is 102111101087. The next prime is 102111101123. The reversal of 102111101101 is 101101111201.

It is not a de Polignac number, because 102111101101 - 2¹⁵ = 102111068333 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 (102111101401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21319615 + ... + 21324403.

It is an arithmetic number, because the mean of its divisors is an integer number (3488461200).

Almost surely, 2^102111101101 is an apocalyptic number.

It is an amenable number.

102111101101 is a deficient number, since it is larger than the sum of its proper divisors (9519657299).

102111101101 is a wasteful number, since it uses less digits than its factorization.

102111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 102111101101 its reverse (101101111201), we get a palindrome (203212212302).

The spelling of 102111101101 in words is "one hundred two billion, one hundred eleven million, one hundred one thousand, one hundred one".