102112221101 has 16 divisors (see below), whose sum is σ = 116400291840. Its totient is φ = 88669582320.

The previous prime is 102112221089. The next prime is 102112221149. The reversal of 102112221101 is 101122211201.

It is not a de Polignac number, because 102112221101 - 2³⁰ = 101038479277 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 (102112226101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98765 + ... + 462578.

It is an arithmetic number, because the mean of its divisors is an integer number (7275018240).

Almost surely, 2^102112221101 is an apocalyptic number.

102112221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112221101 is a deficient number, since it is larger than the sum of its proper divisors (14288070739).

102112221101 is a wasteful number, since it uses less digits than its factorization.

102112221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562096.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112221101 its reverse (101122211201), we get a palindrome (203234432302).

The spelling of 102112221101 in words is "one hundred two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred one".