2121211020101 has 2 divisors, whose sum is σ = 2121211020102. Its totient is φ = 2121211020100.

The previous prime is 2121211020043. The next prime is 2121211020119. The reversal of 2121211020101 is 1010201121212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1631365008001 + 489846012100 = 1277249^2 + 699890^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121211020101 - 2¹⁰ = 2121211019077 is a prime.

It is a super-3 number, since 3×2121211020101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121211023101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060605510050 + 1060605510051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605510051).

Almost surely, 2^{2121211020101} is an apocalyptic number.

It is an amenable number.

2121211020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121211020101 is an equidigital number, since it uses as much as digits as its factorization.

2121211020101 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 14.

Adding to 2121211020101 its reverse (1010201121212), we get a palindrome (3131412141313).

The spelling of 2121211020101 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, twenty thousand, one hundred one".