212100020000101 has 8 divisors (see below), whose sum is σ = 212303193312600. Its totient is φ = 211896940085760.

The previous prime is 212100020000009. The next prime is 212100020000119. The reversal of 212100020000101 is 101000020001212.

It can be written as a sum of positive squares in 4 ways, for example, as 23255532115201 + 188844487884900 = 4822399^2 + 13742070^2 .

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 212100020000101 - 2¹⁷ = 212100019869029 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 (212100020004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18805096 + ... + 27889633.

It is an arithmetic number, because the mean of its divisors is an integer number (26537899164075).

Almost surely, 2^{212100020000101} is an apocalyptic number.

It is an amenable number.

212100020000101 is a deficient number, since it is larger than the sum of its proper divisors (203173312499).

212100020000101 is a wasteful number, since it uses less digits than its factorization.

212100020000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46699079.

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

Adding to 212100020000101 its reverse (101000020001212), we get a palindrome (313100040001313).

The spelling of 212100020000101 in words is "two hundred twelve trillion, one hundred billion, twenty million, one hundred one", and thus it is an aban number.