102002221000201 has 16 divisors (see below), whose sum is σ = 108150113433600. Its totient is φ = 95932352773008.

The previous prime is 102002221000171. The next prime is 102002221000231. The reversal of 102002221000201 is 102000122200201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102002221000171) and next prime (102002221000231).

It is a cyclic number.

It is not a de Polignac number, because 102002221000201 - 2⁴³ = 93206127977993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102002221000231) 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, 40415856 + ... + 42865438.

It is an arithmetic number, because the mean of its divisors is an integer number (6759382089600).

Almost surely, 2^{102002221000201} is an apocalyptic number.

It is an amenable number.

102002221000201 is a deficient number, since it is larger than the sum of its proper divisors (6147892433399).

102002221000201 is a wasteful number, since it uses less digits than its factorization.

102002221000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465508.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102002221000201 its reverse (102000122200201), we get a palindrome (204002343200402).

The spelling of 102002221000201 in words is "one hundred two trillion, two billion, two hundred twenty-one million, two hundred one", and thus it is an aban number.