2101022000517 has 64 divisors (see below), whose sum is σ = 3165982848000. Its totient is φ = 1228281868800.

The previous prime is 2101022000459. The next prime is 2101022000527. The reversal of 2101022000517 is 7150002201012.

It is not a de Polignac number, because 2101022000517 - 2¹² = 2101021996421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101022000493 and 2101022000502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101022000527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75701359 + ... + 75729107.

It is an arithmetic number, because the mean of its divisors is an integer number (49468482000).

Almost surely, 2^{2101022000517} is an apocalyptic number.

It is an amenable number.

2101022000517 is a deficient number, since it is larger than the sum of its proper divisors (1064960847483).

2101022000517 is a wasteful number, since it uses less digits than its factorization.

2101022000517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28434.

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 2101022000517 its reverse (7150002201012), we get a palindrome (9251024201529).

The spelling of 2101022000517 in words is "two trillion, one hundred one billion, twenty-two million, five hundred seventeen", and thus it is an aban number.