1001102221057 has 2 divisors, whose sum is σ = 1001102221058. Its totient is φ = 1001102221056.

The previous prime is 1001102221013. The next prime is 1001102221087. The reversal of 1001102221057 is 7501222011001.

1001102221057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 572805271921 + 428296949136 = 756839^2 + 654444^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001102221057 - 2¹⁹ = 1001101696769 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001102221087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500551110528 + 500551110529.

It is an arithmetic number, because the mean of its divisors is an integer number (500551110529).

Almost surely, 2^{1001102221057} is an apocalyptic number.

It is an amenable number.

1001102221057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102221057 is an equidigital number, since it uses as much as digits as its factorization.

1001102221057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 1001102221057 its reverse (7501222011001), we get a palindrome (8502324232058).

The spelling of 1001102221057 in words is "one trillion, one billion, one hundred two million, two hundred twenty-one thousand, fifty-seven".