102222122220101 has 8 divisors (see below), whose sum is σ = 111175316475384. Its totient is φ = 93424635691200.

The previous prime is 102222122220079. The next prime is 102222122220149. The reversal of 102222122220101 is 101022221222201.

It can be written as a sum of positive squares in 4 ways, for example, as 3479623890625 + 98742498329476 = 1865375^2 + 9936926^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102222122220101 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 (102222122220601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38926930226 + ... + 38926932851.

It is an arithmetic number, because the mean of its divisors is an integer number (13896914559423).

Almost surely, 2^{102222122220101} is an apocalyptic number.

It is an amenable number.

102222122220101 is a deficient number, since it is larger than the sum of its proper divisors (8953194255283).

102222122220101 is a wasteful number, since it uses less digits than its factorization.

102222122220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77853863191.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102222122220101 its reverse (101022221222201), we get a palindrome (203244343442302).

The spelling of 102222122220101 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".