102000111101 has 16 divisors (see below), whose sum is σ = 119339299200. Its totient is φ = 85354795008.

The previous prime is 102000111013. The next prime is 102000111151. The reversal of 102000111101 is 101111000201.

It is a happy number.

It is not a de Polignac number, because 102000111101 - 2¹⁰ = 102000110077 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 (102000111151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561245 + ... + 720413.

It is an arithmetic number, because the mean of its divisors is an integer number (7458706200).

Almost surely, 2^102000111101 is an apocalyptic number.

It is an amenable number.

102000111101 is a deficient number, since it is larger than the sum of its proper divisors (17339188099).

102000111101 is a wasteful number, since it uses less digits than its factorization.

102000111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161348.

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

Adding to 102000111101 its reverse (101111000201), we get a palindrome (203111111302).

The spelling of 102000111101 in words is "one hundred two billion, one hundred eleven thousand, one hundred one".