212100201002101 has 16 divisors (see below), whose sum is σ = 214804849881600. Its totient is φ = 209410284814848.

The previous prime is 212100201002093. The next prime is 212100201002167. The reversal of 212100201002101 is 101200102001212.

212100201002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212100201002101 - 2³ = 212100201002093 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 (212100201002171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46756005 + ... + 51091333.

It is an arithmetic number, because the mean of its divisors is an integer number (13425303117600).

Almost surely, 2^{212100201002101} is an apocalyptic number.

It is an amenable number.

212100201002101 is a deficient number, since it is larger than the sum of its proper divisors (2704648879499).

212100201002101 is a wasteful number, since it uses less digits than its factorization.

212100201002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337028.

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

Adding to 212100201002101 its reverse (101200102001212), we get a palindrome (313300303003313).

The spelling of 212100201002101 in words is "two hundred twelve trillion, one hundred billion, two hundred one million, two thousand, one hundred one".