1127418312101 has 2 divisors, whose sum is σ = 1127418312102. Its totient is φ = 1127418312100.

The previous prime is 1127418312079. The next prime is 1127418312149. The reversal of 1127418312101 is 1012138147211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 897017352100 + 230400960001 = 947110^2 + 480001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1127418312101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1127418312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 563709156050 + 563709156051.

It is an arithmetic number, because the mean of its divisors is an integer number (563709156051).

Almost surely, 2^{1127418312101} is an apocalyptic number.

It is an amenable number.

1127418312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1127418312101 is an equidigital number, since it uses as much as digits as its factorization.

1127418312101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 32.

The spelling of 1127418312101 in words is "one trillion, one hundred twenty-seven billion, four hundred eighteen million, three hundred twelve thousand, one hundred one".