2102012000101 has 12 divisors (see below), whose sum is σ = 2298679261380. Its totient is φ = 1921107676800.

The previous prime is 2102012000059. The next prime is 2102012000111. The reversal of 2102012000101 is 1010002102012.

It can be written as a sum of positive squares in 6 ways, for example, as 361472703076 + 1740539297025 = 601226^2 + 1319295^2 .

It is not a de Polignac number, because 2102012000101 - 2¹⁹ = 2102011475813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012000111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61556896 + ... + 61591033.

It is an arithmetic number, because the mean of its divisors is an integer number (191556605115).

Almost surely, 2^{2102012000101} is an apocalyptic number.

It is an amenable number.

2102012000101 is a deficient number, since it is larger than the sum of its proper divisors (196667261279).

2102012000101 is a wasteful number, since it uses less digits than its factorization.

2102012000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123148056 (or 123148043 counting only the distinct ones).

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

Adding to 2102012000101 its reverse (1010002102012), we get a palindrome (3112014102113).

The spelling of 2102012000101 in words is "two trillion, one hundred two billion, twelve million, one hundred one", and thus it is an aban number.