102222121100301 has 12 divisors (see below), whose sum is σ = 151255496262780. Its totient is φ = 66485932422720.

The previous prime is 102222121100263. The next prime is 102222121100353. The reversal of 102222121100301 is 103001121222201.

102222121100301 is a `hidden beast` number, since 1 + 0 + 22 + 221 + 21 + 100 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13331071578276 + 88891049522025 = 3651174^2 + 9428205^2 .

It is not a de Polignac number, because 102222121100301 - 2¹⁹ = 102222120576013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222121140301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138512358846 + ... + 138512359583.

It is an arithmetic number, because the mean of its divisors is an integer number (12604624688565).

Almost surely, 2^{102222121100301} is an apocalyptic number.

It is an amenable number.

102222121100301 is a deficient number, since it is larger than the sum of its proper divisors (49033375162479).

102222121100301 is a wasteful number, since it uses less digits than its factorization.

102222121100301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277024718476 (or 277024718473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102222121100301 its reverse (103001121222201), we get a palindrome (205223242322502).

The spelling of 102222121100301 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, three hundred one".