2122111020101 has 2 divisors, whose sum is σ = 2122111020102. Its totient is φ = 2122111020100.

The previous prime is 2122111020089. The next prime is 2122111020149. The reversal of 2122111020101 is 1010201112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1217158356001 + 904952664100 = 1103249^2 + 951290^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122111020101 - 2⁶ = 2122111020037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122111020151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061055510050 + 1061055510051.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055510051).

Almost surely, 2^{2122111020101} is an apocalyptic number.

It is an amenable number.

2122111020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122111020101 is an equidigital number, since it uses as much as digits as its factorization.

2122111020101 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 2122111020101 its reverse (1010201112212), we get a palindrome (3132312132313).

The spelling of 2122111020101 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, twenty thousand, one hundred one".