212100001010101 has 8 divisors (see below), whose sum is σ = 226800001081944. Its totient is φ = 197647059763200.

The previous prime is 212100001010099. The next prime is 212100001010123. The reversal of 212100001010101 is 101010100001212.

212100001010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 166216298400100 + 45883702610001 = 12892490^2 + 6773751^2 .

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 212100001010101 - 2¹ = 212100001010099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100001010141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61764704460 + ... + 61764707893.

It is an arithmetic number, because the mean of its divisors is an integer number (28350000135243).

Almost surely, 2^{212100001010101} is an apocalyptic number.

It is an amenable number.

212100001010101 is a deficient number, since it is larger than the sum of its proper divisors (14700000071843).

212100001010101 is a wasteful number, since it uses less digits than its factorization.

212100001010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123529412471.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 212100001010101 its reverse (101010100001212), we get a palindrome (313110101011313).

The spelling of 212100001010101 in words is "two hundred twelve trillion, one hundred billion, one million, ten thousand, one hundred one".