2110222010101 has 2 divisors, whose sum is σ = 2110222010102. Its totient is φ = 2110222010100.

The previous prime is 2110222010089. The next prime is 2110222010107. The reversal of 2110222010101 is 1010102220112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1794461180625 + 315760829476 = 1339575^2 + 561926^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110222010101 - 2⁵ = 2110222010069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110222010107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055111005050 + 1055111005051.

It is an arithmetic number, because the mean of its divisors is an integer number (1055111005051).

Almost surely, 2^{2110222010101} is an apocalyptic number.

It is an amenable number.

2110222010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110222010101 is an equidigital number, since it uses as much as digits as its factorization.

2110222010101 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 13.

Adding to 2110222010101 its reverse (1010102220112), we get a palindrome (3120324230213).

The spelling of 2110222010101 in words is "two trillion, one hundred ten billion, two hundred twenty-two million, ten thousand, one hundred one".