2101212101001 has 16 divisors (see below), whose sum is σ = 3175921125440. Its totient is φ = 1224998147520.

The previous prime is 2101212100993. The next prime is 2101212101063. The reversal of 2101212101001 is 1001012121012.

It is not a de Polignac number, because 2101212101001 - 2³ = 2101212100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101212109001) 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 15 ways as a sum of consecutive naturals, for example, 1417821190 + ... + 1417822671.

It is an arithmetic number, because the mean of its divisors is an integer number (198495070340).

Almost surely, 2^{2101212101001} is an apocalyptic number.

It is an amenable number.

2101212101001 is a deficient number, since it is larger than the sum of its proper divisors (1074709024439).

2101212101001 is a wasteful number, since it uses less digits than its factorization.

2101212101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835643896.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101212101001 its reverse (1001012121012), we get a palindrome (3102224222013).

The spelling of 2101212101001 in words is "two trillion, one hundred one billion, two hundred twelve million, one hundred one thousand, one".