102210303012201 has 12 divisors (see below), whose sum is σ = 147637248645120. Its totient is φ = 68140135410840.

The previous prime is 102210303012173. The next prime is 102210303012217.

102210303012201 is a `hidden beast` number, since 102 + 2 + 10 + 30 + 301 + 220 + 1 = 666.

102210303012201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102210303012201 - 2²⁹ = 102209766141289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102210303013201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5283256 + ... + 15242486.

It is an arithmetic number, because the mean of its divisors is an integer number (12303104053760).

Almost surely, 2^{102210303012201} is an apocalyptic number.

It is an amenable number.

102210303012201 is a deficient number, since it is larger than the sum of its proper divisors (45426945632919).

102210303012201 is a wasteful number, since it uses less digits than its factorization.

102210303012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099556 (or 11099553 counting only the distinct ones).

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

It can be divided in two parts, 10221030 and 3012201, that added together give a palindrome (13233231).

The spelling of 102210303012201 in words is "one hundred two trillion, two hundred ten billion, three hundred three million, twelve thousand, two hundred one".