1127042101001 has 16 divisors (see below), whose sum is σ = 1141016659200. Its totient is φ = 1113136250688.

The previous prime is 1127042100973. The next prime is 1127042101013. The reversal of 1127042101001 is 1001012407211.

It is a cyclic number.

It is not a de Polignac number, because 1127042101001 - 2³⁰ = 1125968359177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1127042101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135506495 + ... + 135514811.

It is an arithmetic number, because the mean of its divisors is an integer number (71313541200).

Almost surely, 2^{1127042101001} is an apocalyptic number.

It is an amenable number.

1127042101001 is a deficient number, since it is larger than the sum of its proper divisors (13974558199).

1127042101001 is a wasteful number, since it uses less digits than its factorization.

1127042101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12248.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 1127042101001 its reverse (1001012407211), we get a palindrome (2128054508212).

The spelling of 1127042101001 in words is "one trillion, one hundred twenty-seven billion, forty-two million, one hundred one thousand, one".