101000112127 has 2 divisors, whose sum is σ = 101000112128. Its totient is φ = 101000112126.

The previous prime is 101000112107. The next prime is 101000112167. The reversal of 101000112127 is 721211000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000112127 - 2³⁵ = 66640373759 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000112127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000112107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500056063 + 50500056064.

It is an arithmetic number, because the mean of its divisors is an integer number (50500056064).

Almost surely, 2^101000112127 is an apocalyptic number.

101000112127 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000112127 is an equidigital number, since it uses as much as digits as its factorization.

101000112127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 101000112127 its reverse (721211000101), we get a palindrome (822211112228).

The spelling of 101000112127 in words is "one hundred one billion, one hundred twelve thousand, one hundred twenty-seven".