101011111103057 has 2 divisors, whose sum is σ = 101011111103058. Its totient is φ = 101011111103056.

The previous prime is 101011111103047. The next prime is 101011111103137. The reversal of 101011111103057 is 750301111110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100826822057536 + 184289045521 = 10041256^2 + 429289^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111103057 - 2⁴ = 101011111103041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011111103047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555551528 + 50505555551529.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555551529).

Almost surely, 2^{101011111103057} is an apocalyptic number.

It is an amenable number.

101011111103057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011111103057 is an equidigital number, since it uses as much as digits as its factorization.

101011111103057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 23.

Adding to 101011111103057 its reverse (750301111110101), we get a palindrome (851312222213158).

The spelling of 101011111103057 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred three thousand, fifty-seven".