102222110100001 has 16 divisors (see below), whose sum is σ = 104960438984016. Its totient is φ = 99495527040000.

The previous prime is 102222110099971. The next prime is 102222110100013. The reversal of 102222110100001 is 100001011222201.

It can be written as a sum of positive squares in 8 ways, for example, as 6013946952225 + 96208163147776 = 2452335^2 + 9808576^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222110100001 - 2¹³ = 102222110091809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102222110100301) 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, 110696971 + ... + 111616591.

It is an arithmetic number, because the mean of its divisors is an integer number (6560027436501).

Almost surely, 2^{102222110100001} is an apocalyptic number.

It is an amenable number.

102222110100001 is a deficient number, since it is larger than the sum of its proper divisors (2738328884015).

102222110100001 is an equidigital number, since it uses as much as digits as its factorization.

102222110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926004.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102222110100001 its reverse (100001011222201), we get a palindrome (202223121322202).

The spelling of 102222110100001 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred ten million, one hundred thousand, one".