2210212122101 has 2 divisors, whose sum is σ = 2210212122102. Its totient is φ = 2210212122100.

The previous prime is 2210212122077. The next prime is 2210212122109. The reversal of 2210212122101 is 1012212120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1123332895876 + 1086879226225 = 1059874^2 + 1042535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210212122101 - 2¹⁰ = 2210212121077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2210212122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210212122109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105106061050 + 1105106061051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105106061051).

Almost surely, 2^{2210212122101} is an apocalyptic number.

It is an amenable number.

2210212122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210212122101 is an equidigital number, since it uses as much as digits as its factorization.

2210212122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2210212122101 its reverse (1012212120122), we get a palindrome (3222424242223).

The spelling of 2210212122101 in words is "two trillion, two hundred ten billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".