105072120201202 has 72 divisors (see below), whose sum is σ = 201589045061292. Its totient is φ = 40923696179520.

The previous prime is 105072120201197. The next prime is 105072120201211. The reversal of 105072120201202 is 202102021270501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89171174416401 + 15900945784801 = 9443049^2 + 3987599^2 .

It is a super-2 number, since 2×105072120201202² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34553928 + ... + 37471564.

Almost surely, 2^{105072120201202} is an apocalyptic number.

105072120201202 is a deficient number, since it is larger than the sum of its proper divisors (96516924860090).

105072120201202 is a wasteful number, since it uses less digits than its factorization.

105072120201202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920712 (or 2920694 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 105072120201202 its reverse (202102021270501), we get a palindrome (307174141471703).

The spelling of 105072120201202 in words is "one hundred five trillion, seventy-two billion, one hundred twenty million, two hundred one thousand, two hundred two".