1014102401 has 16 divisors (see below), whose sum is σ = 1134277200. Its totient is φ = 900523008.

The previous prime is 1014102379. The next prime is 1014102433. The reversal of 1014102401 is 1042014101.

It can be written as a sum of positive squares in 8 ways, for example, as 190412401 + 823690000 = 13799^2 + 28700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1014102401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014102701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30965 + ... + 54653.

It is an arithmetic number, because the mean of its divisors is an integer number (70892325).

Almost surely, 2^1014102401 is an apocalyptic number.

It is an amenable number.

1014102401 is a deficient number, since it is larger than the sum of its proper divisors (120174799).

1014102401 is a wasteful number, since it uses less digits than its factorization.

1014102401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23828.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1014102401 is about 31844.9745014814. The cubic root of 1014102401 is about 1004.6788743253.

Adding to 1014102401 its reverse (1042014101), we get a palindrome (2056116502).

The spelling of 1014102401 in words is "one billion, fourteen million, one hundred two thousand, four hundred one".