1010011221001 has 2 divisors, whose sum is σ = 1010011221002. Its totient is φ = 1010011221000.

The previous prime is 1010011220887. The next prime is 1010011221013. The reversal of 1010011221001 is 1001221100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 650160005625 + 359851215376 = 806325^2 + 599876^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010011221001 - 2⁹ = 1010011220489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010011221071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005610500 + 505005610501.

It is an arithmetic number, because the mean of its divisors is an integer number (505005610501).

Almost surely, 2^{1010011221001} is an apocalyptic number.

It is an amenable number.

1010011221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010011221001 is an equidigital number, since it uses as much as digits as its factorization.

1010011221001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010011221001 its reverse (1001221100101), we get a palindrome (2011232321102).

The spelling of 1010011221001 in words is "one trillion, ten billion, eleven million, two hundred twenty-one thousand, one".