102101112122209 has 8 divisors (see below), whose sum is σ = 102352105067400. Its totient is φ = 101850224050176.

The previous prime is 102101112122203. The next prime is 102101112122227. The reversal of 102101112122209 is 902221211101201.

It can be written as a sum of positive squares in 4 ways, for example, as 103231762209 + 101997880360000 = 321297^2 + 10099400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102101112122209 - 2²⁷ = 102100977904481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101112122203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24268584 + ... + 28163209.

It is an arithmetic number, because the mean of its divisors is an integer number (12794013133425).

Almost surely, 2^{102101112122209} is an apocalyptic number.

It is an amenable number.

102101112122209 is a deficient number, since it is larger than the sum of its proper divisors (250992945191).

102101112122209 is an equidigital number, since it uses as much as digits as its factorization.

102101112122209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52436579.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 102101112122209 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred nine".