221121000020993 has 2 divisors, whose sum is σ = 221121000020994. Its totient is φ = 221121000020992.

The previous prime is 221121000020939. The next prime is 221121000021001. The reversal of 221121000020993 is 399020000121122.

It is a happy number.

Together with previous prime (221121000020939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218156208492544 + 2964791528449 = 14770112^2 + 1721857^2 .

It is a cyclic number.

It is not a de Polignac number, because 221121000020993 - 2⁶ = 221121000020929 is a prime.

It is not a weakly prime, because it can be changed into another prime (221121000020093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560500010496 + 110560500010497.

It is an arithmetic number, because the mean of its divisors is an integer number (110560500010497).

Almost surely, 2^{221121000020993} is an apocalyptic number.

It is an amenable number.

221121000020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121000020993 is an equidigital number, since it uses as much as digits as its factorization.

221121000020993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 221121000020993 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, twenty thousand, nine hundred ninety-three".