100112221012057 has 2 divisors, whose sum is σ = 100112221012058. Its totient is φ = 100112221012056.

The previous prime is 100112221012021. The next prime is 100112221012079. The reversal of 100112221012057 is 750210122211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70657406393616 + 29454814618441 = 8405796^2 + 5427229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112221012057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112221012357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056110506028 + 50056110506029.

It is an arithmetic number, because the mean of its divisors is an integer number (50056110506029).

Almost surely, 2^{100112221012057} is an apocalyptic number.

It is an amenable number.

100112221012057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112221012057 is an equidigital number, since it uses as much as digits as its factorization.

100112221012057 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 100112221012057 its reverse (750210122211001), we get a palindrome (850322343223058).

The spelling of 100112221012057 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, fifty-seven".