100220100022057 has 2 divisors, whose sum is σ = 100220100022058. Its totient is φ = 100220100022056.

The previous prime is 100220100022001. The next prime is 100220100022123. The reversal of 100220100022057 is 750220001022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98210002729216 + 2010097292841 = 9910096^2 + 1417779^2 .

It is an emirp because it is prime and its reverse (750220001022001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220100022057 is a prime.

It is a super-2 number, since 2×100220100022057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100220100022157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110050011028 + 50110050011029.

It is an arithmetic number, because the mean of its divisors is an integer number (50110050011029).

Almost surely, 2^{100220100022057} is an apocalyptic number.

It is an amenable number.

100220100022057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220100022057 is an equidigital number, since it uses as much as digits as its factorization.

100220100022057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 100220100022057 its reverse (750220001022001), we get a palindrome (850440101044058).

The spelling of 100220100022057 in words is "one hundred trillion, two hundred twenty billion, one hundred million, twenty-two thousand, fifty-seven".