102222300131001 has 20 divisors (see below), whose sum is σ = 157968050014500. Its totient is φ = 65798262151776.

The previous prime is 102222300130997. The next prime is 102222300131053. The reversal of 102222300131001 is 100131003222201.

102222300131001 is a `hidden beast` number, since 10 + 2 + 222 + 300 + 131 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34264106138025 + 67958193992976 = 5853555^2 + 8243676^2 .

It is not a de Polignac number, because 102222300131001 - 2² = 102222300130997 is a prime.

It is a super-2 number, since 2×102222300131001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102222300141001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21758682226 + ... + 21758686923.

It is an arithmetic number, because the mean of its divisors is an integer number (7898402500725).

Almost surely, 2^{102222300131001} is an apocalyptic number.

It is an amenable number.

102222300131001 is a deficient number, since it is larger than the sum of its proper divisors (55745749883499).

102222300131001 is an equidigital number, since it uses as much as digits as its factorization.

102222300131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43517369190 (or 43517369181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102222300131001 its reverse (100131003222201), we get a palindrome (202353303353202).

The spelling of 102222300131001 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred million, one hundred thirty-one thousand, one".