2010212012101 has 8 divisors (see below), whose sum is σ = 2012191721984. Its totient is φ = 2008233138240.

The previous prime is 2010212012093. The next prime is 2010212012113. The reversal of 2010212012101 is 1012102120102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2010212012101 - 2³ = 2010212012093 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 (2010212012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4657981 + ... + 5071213.

It is an arithmetic number, because the mean of its divisors is an integer number (251523965248).

Almost surely, 2^{2010212012101} is an apocalyptic number.

It is an amenable number.

2010212012101 is a deficient number, since it is larger than the sum of its proper divisors (1979709883).

2010212012101 is a wasteful number, since it uses less digits than its factorization.

2010212012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418011.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2010212012101 its reverse (1012102120102), we get a palindrome (3022314132203).

It can be divided in two parts, 201021 and 2012101, that added together give a palindrome (2213122).

The spelling of 2010212012101 in words is "two trillion, ten billion, two hundred twelve million, twelve thousand, one hundred one".