101110012112177 has 2 divisors, whose sum is σ = 101110012112178. Its totient is φ = 101110012112176.

The previous prime is 101110012112167. The next prime is 101110012112201. The reversal of 101110012112177 is 771211210011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72960450972721 + 28149561139456 = 8541689^2 + 5305616^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110012112177 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110012112107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555006056088 + 50555006056089.

It is an arithmetic number, because the mean of its divisors is an integer number (50555006056089).

Almost surely, 2^{101110012112177} is an apocalyptic number.

It is an amenable number.

101110012112177 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110012112177 is an equidigital number, since it uses as much as digits as its factorization.

101110012112177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 196, while the sum is 26.

Adding to 101110012112177 its reverse (771211210011101), we get a palindrome (872321222123278).

The spelling of 101110012112177 in words is "one hundred one trillion, one hundred ten billion, twelve million, one hundred twelve thousand, one hundred seventy-seven".