2231100022201 has 2 divisors, whose sum is σ = 2231100022202. Its totient is φ = 2231100022200.

The previous prime is 2231100022199. The next prime is 2231100022267. The reversal of 2231100022201 is 1022200011322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1804586535801 + 426513486400 = 1343349^2 + 653080^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231100022201 - 2¹ = 2231100022199 is a prime.

It is a super-3 number, since 3×2231100022201³ (a number of 38 digits) contains 333 as substring.

Together with 2231100022199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2231100022001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115550011100 + 1115550011101.

It is an arithmetic number, because the mean of its divisors is an integer number (1115550011101).

Almost surely, 2^{2231100022201} is an apocalyptic number.

It is an amenable number.

2231100022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231100022201 is an equidigital number, since it uses as much as digits as its factorization.

2231100022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2231100022201 its reverse (1022200011322), we get a palindrome (3253300033523).

The spelling of 2231100022201 in words is "two trillion, two hundred thirty-one billion, one hundred million, twenty-two thousand, two hundred one".