501012000210105 has 48 divisors (see below), whose sum is σ = 873197364611520. Its totient is φ = 265740216787584.

The previous prime is 501012000210067. The next prime is 501012000210143.

501012000210105 is a `hidden beast` number, since 50 + 101 + 200 + 0 + 210 + 105 = 666.

501012000210105 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (501012000210067) and next prime (501012000210143).

It is not a de Polignac number, because 501012000210105 - 2⁹ = 501012000209593 is a prime.

It is a super-2 number, since 2×501012000210105² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29942299 + ... + 43572528.

It is an arithmetic number, because the mean of its divisors is an integer number (18191611762740).

Almost surely, 2^{501012000210105} is an apocalyptic number.

It is an amenable number.

501012000210105 is a deficient number, since it is larger than the sum of its proper divisors (372185364401415).

501012000210105 is a wasteful number, since it uses less digits than its factorization.

501012000210105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73515670 (or 73515667 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

It can be divided in two parts, 501012000 and 210105, that added together give a palindrome (501222105).

The spelling of 501012000210105 in words is "five hundred one trillion, twelve billion, two hundred ten thousand, one hundred five".