2121102116201 has 2 divisors, whose sum is σ = 2121102116202. Its totient is φ = 2121102116200.

The previous prime is 2121102116137. The next prime is 2121102116227. The reversal of 2121102116201 is 1026112011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1799018625625 + 322083490576 = 1341275^2 + 567524^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121102116201 - 2⁶ = 2121102116137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121102116261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060551058100 + 1060551058101.

It is an arithmetic number, because the mean of its divisors is an integer number (1060551058101).

Almost surely, 2^{2121102116201} is an apocalyptic number.

It is an amenable number.

2121102116201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121102116201 is an equidigital number, since it uses as much as digits as its factorization.

2121102116201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 2121102116201 its reverse (1026112011212), we get a palindrome (3147214127413).

The spelling of 2121102116201 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred sixteen thousand, two hundred one".