2101002001012 has 24 divisors (see below), whose sum is σ = 3680462167200. Its totient is φ = 1049441922720.

The previous prime is 2101002000967. The next prime is 2101002001099.

2101002001012 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2101002001012³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101002001012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15945562 + ... + 16076782.

It is an arithmetic number, because the mean of its divisors is an integer number (153352590300).

Almost surely, 2^{2101002001012} is an apocalyptic number.

It is an amenable number.

2101002001012 is a deficient number, since it is larger than the sum of its proper divisors (1579460166188).

2101002001012 is a wasteful number, since it uses less digits than its factorization.

2101002001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135231 (or 135229 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 2101002001012 in words is "two trillion, one hundred one billion, two million, one thousand, twelve".