59102200212201 has 48 divisors (see below), whose sum is σ = 88411477948560. Its totient is φ = 38000660705280.

The previous prime is 59102200212191. The next prime is 59102200212217. The reversal of 59102200212201 is 10221200220195.

It is a happy number.

59102200212201 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 8 ways, for example, as 2108155898601 + 56994044313600 = 1451949^2 + 7549440^2 .

It is not a de Polignac number, because 59102200212201 - 2⁷ = 59102200212073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59102200219201) 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 47 ways as a sum of consecutive naturals, for example, 1712444721 + ... + 1712479233.

It is an arithmetic number, because the mean of its divisors is an integer number (1841905790595).

Almost surely, 2^{59102200212201} is an apocalyptic number.

It is an amenable number.

59102200212201 is a deficient number, since it is larger than the sum of its proper divisors (29309277736359).

59102200212201 is a wasteful number, since it uses less digits than its factorization.

59102200212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41626 (or 41623 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 59102200212201 its reverse (10221200220195), we get a palindrome (69323400432396).

The spelling of 59102200212201 in words is "fifty-nine trillion, one hundred two billion, two hundred million, two hundred twelve thousand, two hundred one".