101221111850057 has 2 divisors, whose sum is σ = 101221111850058. Its totient is φ = 101221111850056.

The previous prime is 101221111850041. The next prime is 101221111850081. The reversal of 101221111850057 is 750058111122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53507776639801 + 47713335210256 = 7314901^2 + 6907484^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221111850057 - 2⁴ = 101221111850041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221111849999 and 101221111850026.

It is not a weakly prime, because it can be changed into another prime (101221111850087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610555925028 + 50610555925029.

It is an arithmetic number, because the mean of its divisors is an integer number (50610555925029).

Almost surely, 2^{101221111850057} is an apocalyptic number.

It is an amenable number.

101221111850057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221111850057 is an equidigital number, since it uses as much as digits as its factorization.

101221111850057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5600, while the sum is 35.

Adding to 101221111850057 its reverse (750058111122101), we get a palindrome (851279222972158).

The spelling of 101221111850057 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred eleven million, eight hundred fifty thousand, fifty-seven".