1011214410401 has 8 divisors (see below), whose sum is σ = 1089017332200. Its totient is φ = 933413945472.

The previous prime is 1011214410377. The next prime is 1011214410433. The reversal of 1011214410401 is 1040144121101.

It can be written as a sum of positive squares in 4 ways, for example, as 59856069025 + 951358341376 = 244655^2 + 975376^2 .

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 1011214410401 - 2³⁸ = 736336503457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011214413401) 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 7 ways as a sum of consecutive naturals, for example, 289925 + ... + 1451373.

It is an arithmetic number, because the mean of its divisors is an integer number (136127166525).

Almost surely, 2^{1011214410401} is an apocalyptic number.

It is an amenable number.

1011214410401 is a deficient number, since it is larger than the sum of its proper divisors (77802921799).

1011214410401 is a wasteful number, since it uses less digits than its factorization.

1011214410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228435.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1011214410401 its reverse (1040144121101), we get a palindrome (2051358531502).

The spelling of 1011214410401 in words is "one trillion, eleven billion, two hundred fourteen million, four hundred ten thousand, four hundred one".