254020106401 has 2 divisors, whose sum is σ = 254020106402. Its totient is φ = 254020106400.

The previous prime is 254020106387. The next prime is 254020106413. The reversal of 254020106401 is 104601020452.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235360819600 + 18659286801 = 485140^2 + 136599^2 .

It is a cyclic number.

It is not a de Polignac number, because 254020106401 - 2⁵ = 254020106369 is a prime.

It is a super-2 number, since 2×254020106401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (254021106401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127010053200 + 127010053201.

It is an arithmetic number, because the mean of its divisors is an integer number (127010053201).

Almost surely, 2^254020106401 is an apocalyptic number.

It is an amenable number.

254020106401 is a deficient number, since it is larger than the sum of its proper divisors (1).

254020106401 is an equidigital number, since it uses as much as digits as its factorization.

254020106401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 254020106401 its reverse (104601020452), we get a palindrome (358621126853).

The spelling of 254020106401 in words is "two hundred fifty-four billion, twenty million, one hundred six thousand, four hundred one".