2212121121101 has 2 divisors, whose sum is σ = 2212121121102. Its totient is φ = 2212121121100.

The previous prime is 2212121121097. The next prime is 2212121121109. The reversal of 2212121121101 is 1011211212122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1266189813001 + 945931308100 = 1125251^2 + 972590^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212121121101 - 2² = 2212121121097 is a prime.

It is a super-2 number, since 2×2212121121101² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2212121121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212121121109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106060560550 + 1106060560551.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060560551).

Almost surely, 2^{2212121121101} is an apocalyptic number.

It is an amenable number.

2212121121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212121121101 is an equidigital number, since it uses as much as digits as its factorization.

2212121121101 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 17.

Adding to 2212121121101 its reverse (1011211212122), we get a palindrome (3223332333223).

The spelling of 2212121121101 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred one".