2121212000101 has 2 divisors, whose sum is σ = 2121212000102. Its totient is φ = 2121212000100.

The previous prime is 2121212000071. The next prime is 2121212000113. The reversal of 2121212000101 is 1010002121212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2120958235201 + 253764900 = 1456351^2 + 15930^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121212000101 - 2²⁹ = 2120675129189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121212000191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060606000050 + 1060606000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060606000051).

Almost surely, 2^{2121212000101} is an apocalyptic number.

It is an amenable number.

2121212000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121212000101 is an equidigital number, since it uses as much as digits as its factorization.

2121212000101 is an evil number, because the sum of its binary digits is even.

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

Adding to 2121212000101 its reverse (1010002121212), we get a palindrome (3131214121313).

The spelling of 2121212000101 in words is "two trillion, one hundred twenty-one billion, two hundred twelve million, one hundred one", and thus it is an aban number.