101112120022057 has 2 divisors, whose sum is σ = 101112120022058. Its totient is φ = 101112120022056.

The previous prime is 101112120022049. The next prime is 101112120022061. The reversal of 101112120022057 is 750220021211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101031928543296 + 80191478761 = 10051464^2 + 283181^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112120022057 - 2³ = 101112120022049 is a prime.

It is a super-3 number, since 3×101112120022057³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (101112120022027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060011028 + 50556060011029.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060011029).

Almost surely, 2^{101112120022057} is an apocalyptic number.

It is an amenable number.

101112120022057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112120022057 is an equidigital number, since it uses as much as digits as its factorization.

101112120022057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 101112120022057 its reverse (750220021211101), we get a palindrome (851332141233158).

The spelling of 101112120022057 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, twenty-two thousand, fifty-seven".