420010202010033 has 32 divisors (see below), whose sum is σ = 649325837721600. Its totient is φ = 267818277112848.

The previous prime is 420010202009927. The next prime is 420010202010041. The reversal of 420010202010033 is 330010202010024.

420010202010033 is a `hidden beast` number, since 420 + 0 + 1 + 0 + 202 + 0 + 10 + 0 + 33 = 666.

It is not a de Polignac number, because 420010202010033 - 2²¹ = 420010199912881 is a prime.

It is a super-2 number, since 2×420010202010033² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420010202009988 and 420010202010015.

It is not an unprimeable number, because it can be changed into a prime (420010202010233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6441235 + ... + 29690232.

It is an arithmetic number, because the mean of its divisors is an integer number (20291432428800).

Almost surely, 2^{420010202010033} is an apocalyptic number.

It is an amenable number.

420010202010033 is a deficient number, since it is larger than the sum of its proper divisors (229315635711567).

420010202010033 is a wasteful number, since it uses less digits than its factorization.

420010202010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36150218 (or 36150212 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 420010202010033 its reverse (330010202010024), we get a palindrome (750020404020057).

Subtracting from 420010202010033 its reverse (330010202010024), we obtain a palindrome (90000000000009).

The spelling of 420010202010033 in words is "four hundred twenty trillion, ten billion, two hundred two million, ten thousand, thirty-three".