10102202122201 has 6 divisors (see below), whose sum is σ = 11751541244250. Its totient is φ = 8659030390416.

The previous prime is 10102202122189. The next prime is 10102202122219. The reversal of 10102202122201 is 10222120220101.

It is a happy number.

10102202122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9745004646601 + 357197475600 = 3121699^2 + 597660^2 .

It is not a de Polignac number, because 10102202122201 - 2⁹ = 10102202121689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102202122261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103083695076 + ... + 103083695173.

It is an arithmetic number, because the mean of its divisors is an integer number (1958590207375).

Almost surely, 2^{10102202122201} is an apocalyptic number.

It is an amenable number.

10102202122201 is a deficient number, since it is larger than the sum of its proper divisors (1649339122049).

10102202122201 is an equidigital number, since it uses as much as digits as its factorization.

10102202122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206167390263 (or 206167390256 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10102202122201 its reverse (10222120220101), we get a palindrome (20324322342302).

The spelling of 10102202122201 in words is "ten trillion, one hundred two billion, two hundred two million, one hundred twenty-two thousand, two hundred one".