1014127214101 has 8 divisors (see below), whose sum is σ = 1024681362264. Its totient is φ = 1003575091200.

The previous prime is 1014127214081. The next prime is 1014127214123.

1014127214101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 546098830225 + 468028383876 = 738985^2 + 684126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1014127214101 - 2³⁷ = 876688260629 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014127214701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510951 + ... + 1513051.

It is an arithmetic number, because the mean of its divisors is an integer number (128085170283).

Almost surely, 2^{1014127214101} is an apocalyptic number.

It is an amenable number.

1014127214101 is a deficient number, since it is larger than the sum of its proper divisors (10554148163).

1014127214101 is a wasteful number, since it uses less digits than its factorization.

1014127214101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012631.

The product of its (nonzero) digits is 448, while the sum is 25.

The spelling of 1014127214101 in words is "one trillion, fourteen billion, one hundred twenty-seven million, two hundred fourteen thousand, one hundred one".