2121210242101 has 2 divisors, whose sum is σ = 2121210242102. Its totient is φ = 2121210242100.

The previous prime is 2121210242089. The next prime is 2121210242113. The reversal of 2121210242101 is 1012420121212.

It is a balanced prime because it is at equal distance from previous prime (2121210242089) and next prime (2121210242113).

It can be written as a sum of positive squares in only one way, i.e., 1201711443076 + 919498799025 = 1096226^2 + 958905^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121210242101 - 2¹⁵ = 2121210209333 is a prime.

It is a super-3 number, since 3×2121210242101³ (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 (2121210242201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060605121050 + 1060605121051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605121051).

Almost surely, 2^{2121210242101} is an apocalyptic number.

It is an amenable number.

2121210242101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121210242101 is an equidigital number, since it uses as much as digits as its factorization.

2121210242101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2121210242101 its reverse (1012420121212), we get a palindrome (3133630363313).

The spelling of 2121210242101 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, two hundred forty-two thousand, one hundred one".