101220201122057 has 2 divisors, whose sum is σ = 101220201122058. Its totient is φ = 101220201122056.

The previous prime is 101220201121981. The next prime is 101220201122069. The reversal of 101220201122057 is 750221102022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64732065549376 + 36488135572681 = 8045624^2 + 6040541^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220201122057 - 2¹⁰ = 101220201121033 is a prime.

It is a super-2 number, since 2×101220201122057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101220201122357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610100561028 + 50610100561029.

It is an arithmetic number, because the mean of its divisors is an integer number (50610100561029).

Almost surely, 2^{101220201122057} is an apocalyptic number.

It is an amenable number.

101220201122057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220201122057 is an equidigital number, since it uses as much as digits as its factorization.

101220201122057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 101220201122057 its reverse (750221102022101), we get a palindrome (851441303144158).

The spelling of 101220201122057 in words is "one hundred one trillion, two hundred twenty billion, two hundred one million, one hundred twenty-two thousand, fifty-seven".