1001122120057 has 2 divisors, whose sum is σ = 1001122120058. Its totient is φ = 1001122120056.

The previous prime is 1001122120049. The next prime is 1001122120181. The reversal of 1001122120057 is 7500212211001.

1001122120057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 841422778681 + 159699341376 = 917291^2 + 399624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001122120057 - 2³ = 1001122120049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001122100057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500561060028 + 500561060029.

It is an arithmetic number, because the mean of its divisors is an integer number (500561060029).

Almost surely, 2^{1001122120057} is an apocalyptic number.

It is an amenable number.

1001122120057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001122120057 is an equidigital number, since it uses as much as digits as its factorization.

1001122120057 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 1001122120057 its reverse (7500212211001), we get a palindrome (8501334331058).

The spelling of 1001122120057 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty thousand, fifty-seven".