2100122220101 has 2 divisors, whose sum is σ = 2100122220102. Its totient is φ = 2100122220100.

The previous prime is 2100122220073. The next prime is 2100122220143. The reversal of 2100122220101 is 1010222210012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2096327536900 + 3794683201 = 1447870^2 + 61601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122220101 - 2³⁰ = 2099048478277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100122220901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061110050 + 1050061110051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061110051).

Almost surely, 2^{2100122220101} is an apocalyptic number.

It is an amenable number.

2100122220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122220101 is an equidigital number, since it uses as much as digits as its factorization.

2100122220101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100122220101 its reverse (1010222210012), we get a palindrome (3110344430113).

The spelling of 2100122220101 in words is "two trillion, one hundred billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".