2102012000001 has 24 divisors (see below), whose sum is σ = 3169156536000. Its totient is φ = 1340029902816.

The previous prime is 2102011999991. The next prime is 2102012000009. The reversal of 2102012000001 is 1000002102012.

It is not a de Polignac number, because 2102012000001 - 2¹⁵ = 2102011967233 is a prime.

It is a super-3 number, since 3×2102012000001³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2102012000009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726786 + ... + 2175371.

It is an arithmetic number, because the mean of its divisors is an integer number (132048189000).

Almost surely, 2^{2102012000001} is an apocalyptic number.

It is an amenable number.

2102012000001 is a deficient number, since it is larger than the sum of its proper divisors (1067144535999).

2102012000001 is a wasteful number, since it uses less digits than its factorization.

2102012000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905685 (or 2905682 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2102012000001 its reverse (1000002102012), we get a palindrome (3102014102013).

The spelling of 2102012000001 in words is "two trillion, one hundred two billion, twelve million, one", and thus it is an aban number.