101220122110057 has 2 divisors, whose sum is σ = 101220122110058. Its totient is φ = 101220122110056.

The previous prime is 101220122110013. The next prime is 101220122110103. The reversal of 101220122110057 is 750011221022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73717953559056 + 27502168551001 = 8585916^2 + 5244251^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220122110057 - 2²⁷ = 101219987892329 is a prime.

It is not a weakly prime, because it can be changed into another prime (101220122110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610061055028 + 50610061055029.

It is an arithmetic number, because the mean of its divisors is an integer number (50610061055029).

Almost surely, 2^{101220122110057} is an apocalyptic number.

It is an amenable number.

101220122110057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220122110057 is an equidigital number, since it uses as much as digits as its factorization.

101220122110057 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 25.

Adding to 101220122110057 its reverse (750011221022101), we get a palindrome (851231343132158).

The spelling of 101220122110057 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred ten thousand, fifty-seven".