102101110009 has 4 divisors (see below), whose sum is σ = 102101778304. Its totient is φ = 102100441716.

The previous prime is 102101110003. The next prime is 102101110019. The reversal of 102101110009 is 900011101201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 900011101201 = 331 ⋅2719066771.

It is a cyclic number.

It is not a de Polignac number, because 102101110009 - 2¹⁹ = 102100585721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101109974 and 102101110001.

It is not an unprimeable number, because it can be changed into a prime (102101110003) 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, 20464 + ... + 452350.

It is an arithmetic number, because the mean of its divisors is an integer number (25525444576).

Almost surely, 2^102101110009 is an apocalyptic number.

It is an amenable number.

102101110009 is a deficient number, since it is larger than the sum of its proper divisors (668295).

102101110009 is an equidigital number, since it uses as much as digits as its factorization.

102101110009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668294.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 102101110009 in words is "one hundred two billion, one hundred one million, one hundred ten thousand, nine".