102202002001201 has 8 divisors (see below), whose sum is σ = 102219744722600. Its totient is φ = 102184260013440.

The previous prime is 102202002001123. The next prime is 102202002001277. The reversal of 102202002001201 is 102100200202201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2333558704801 + 99868443296400 = 1527599^2 + 9993420^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102202002001201 - 2³⁹ = 101652246187313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102202002002201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328691515 + ... + 329002303.

It is an arithmetic number, because the mean of its divisors is an integer number (12777468090325).

Almost surely, 2^{102202002001201} is an apocalyptic number.

It is an amenable number.

102202002001201 is a deficient number, since it is larger than the sum of its proper divisors (17742721399).

102202002001201 is an equidigital number, since it uses as much as digits as its factorization.

102202002001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366819.

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

Adding to 102202002001201 its reverse (102100200202201), we get a palindrome (204302202203402).

The spelling of 102202002001201 in words is "one hundred two trillion, two hundred two billion, two million, one thousand, two hundred one".