102111111101 has 16 divisors (see below), whose sum is σ = 104270350080. Its totient is φ = 99968368320.

The previous prime is 102111111071. The next prime is 102111111107. The reversal of 102111111101 is 101111111201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102111111101 - 2¹⁰ = 102111110077 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 (102111111107) 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, 17933411 + ... + 17939103.

It is an arithmetic number, because the mean of its divisors is an integer number (6516896880).

Almost surely, 2^102111111101 is an apocalyptic number.

It is an amenable number.

102111111101 is a deficient number, since it is larger than the sum of its proper divisors (2159238979).

102111111101 is a wasteful number, since it uses less digits than its factorization.

102111111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 102111111101 its reverse (101111111201), we get a palindrome (203222222302).

The spelling of 102111111101 in words is "one hundred two billion, one hundred eleven million, one hundred eleven thousand, one hundred one".