102213010201201 has 8 divisors (see below), whose sum is σ = 102236827833000. Its totient is φ = 102189195204480.

The previous prime is 102213010201171. The next prime is 102213010201217. The reversal of 102213010201201 is 102102010312201.

It can be written as a sum of positive squares in 4 ways, for example, as 41157164698225 + 61055845502976 = 6415385^2 + 7813824^2 .

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 102213010201201 - 2²¹ = 102213008104049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213010201271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78019995 + ... + 79319263.

It is an arithmetic number, because the mean of its divisors is an integer number (12779603479125).

Almost surely, 2^{102213010201201} is an apocalyptic number.

It is an amenable number.

102213010201201 is a deficient number, since it is larger than the sum of its proper divisors (23817631799).

102213010201201 is a wasteful number, since it uses less digits than its factorization.

102213010201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317539.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102213010201201 its reverse (102102010312201), we get a palindrome (204315020513402).

The spelling of 102213010201201 in words is "one hundred two trillion, two hundred thirteen billion, ten million, two hundred one thousand, two hundred one".