102011102113 has 4 divisors (see below), whose sum is σ = 102027905668. Its totient is φ = 101994298560.

The previous prime is 102011102111. The next prime is 102011102117. The reversal of 102011102113 is 311201110201.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311201110201 = 338747 ⋅918683.

It can be written as a sum of positive squares in 2 ways, for example, as 44750440849 + 57260661264 = 211543^2 + 239292^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011102113 - 2¹ = 102011102111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011102093 and 102011102102.

It is not an unprimeable number, because it can be changed into a prime (102011102111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8392668 + ... + 8404813.

It is an arithmetic number, because the mean of its divisors is an integer number (25506976417).

Almost surely, 2^102011102113 is an apocalyptic number.

It is an amenable number.

102011102113 is a deficient number, since it is larger than the sum of its proper divisors (16803555).

102011102113 is an equidigital number, since it uses as much as digits as its factorization.

102011102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16803554.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102011102113 its reverse (311201110201), we get a palindrome (413212212314).

The spelling of 102011102113 in words is "one hundred two billion, eleven million, one hundred two thousand, one hundred thirteen".