10120254335201 has 2 divisors, whose sum is σ = 10120254335202. Its totient is φ = 10120254335200.

The previous prime is 10120254335099. The next prime is 10120254335207. The reversal of 10120254335201 is 10253345202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10053978981601 + 66275353600 = 3170801^2 + 257440^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120254335201 - 2³⁸ = 9845376428257 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120254335207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060127167600 + 5060127167601.

It is an arithmetic number, because the mean of its divisors is an integer number (5060127167601).

Almost surely, 2^{10120254335201} is an apocalyptic number.

It is an amenable number.

10120254335201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120254335201 is an equidigital number, since it uses as much as digits as its factorization.

10120254335201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 10120254335201 its reverse (10253345202101), we get a palindrome (20373599537302).

The spelling of 10120254335201 in words is "ten trillion, one hundred twenty billion, two hundred fifty-four million, three hundred thirty-five thousand, two hundred one".