2122111200101 has 2 divisors, whose sum is σ = 2122111200102. Its totient is φ = 2122111200100.

The previous prime is 2122111200007. The next prime is 2122111200113. The reversal of 2122111200101 is 1010021112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1957578748225 + 164532451876 = 1399135^2 + 405626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122111200101 - 2³⁰ = 2121037458277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122111200151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061055600050 + 1061055600051.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055600051).

Almost surely, 2^{2122111200101} is an apocalyptic number.

It is an amenable number.

2122111200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122111200101 is an equidigital number, since it uses as much as digits as its factorization.

2122111200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2122111200101 its reverse (1010021112212), we get a palindrome (3132132312313).

The spelling of 2122111200101 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, two hundred thousand, one hundred one".