2427101258401 has 2 divisors, whose sum is σ = 2427101258402. Its totient is φ = 2427101258400.

The previous prime is 2427101258383. The next prime is 2427101258431. The reversal of 2427101258401 is 1048521017242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1749112051600 + 677989206801 = 1322540^2 + 823401^2 .

It is a cyclic number.

It is not a de Polignac number, because 2427101258401 - 2²⁵ = 2427067703969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2427101258431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1213550629200 + 1213550629201.

It is an arithmetic number, because the mean of its divisors is an integer number (1213550629201).

Almost surely, 2^{2427101258401} is an apocalyptic number.

It is an amenable number.

2427101258401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2427101258401 is an equidigital number, since it uses as much as digits as its factorization.

2427101258401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 2427101258401 in words is "two trillion, four hundred twenty-seven billion, one hundred one million, two hundred fifty-eight thousand, four hundred one".