101100111109057 has 2 divisors, whose sum is σ = 101100111109058. Its totient is φ = 101100111109056.

The previous prime is 101100111109031. The next prime is 101100111109111. The reversal of 101100111109057 is 750901111001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91619814686976 + 9480296422081 = 9571824^2 + 3079009^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100111109057 is a prime.

It is a super-4 number, since 4×101100111109057⁴ (a number of 57 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (101100111109007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055554528 + 50550055554529.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055554529).

Almost surely, 2^{101100111109057} is an apocalyptic number.

It is an amenable number.

101100111109057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100111109057 is an equidigital number, since it uses as much as digits as its factorization.

101100111109057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 28.

The spelling of 101100111109057 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred nine thousand, fifty-seven".