2100221310331 has 2 divisors, whose sum is σ = 2100221310332. Its totient is φ = 2100221310330.

The previous prime is 2100221310301. The next prime is 2100221310373. The reversal of 2100221310331 is 1330131220012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100221310331 - 2⁷ = 2100221310203 is a prime.

It is a super-2 number, since 2×2100221310331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100221310299 and 2100221310308.

It is not a weakly prime, because it can be changed into another prime (2100221310301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050110655165 + 1050110655166.

It is an arithmetic number, because the mean of its divisors is an integer number (1050110655166).

Almost surely, 2^{2100221310331} is an apocalyptic number.

2100221310331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100221310331 is an equidigital number, since it uses as much as digits as its factorization.

2100221310331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2100221310331 its reverse (1330131220012), we get a palindrome (3430352530343).

The spelling of 2100221310331 in words is "two trillion, one hundred billion, two hundred twenty-one million, three hundred ten thousand, three hundred thirty-one".