10135425442401 has 96 divisors (see below), whose sum is σ = 17192557025280. Its totient is φ = 5634279585792.

The previous prime is 10135425442399. The next prime is 10135425442427. The reversal of 10135425442401 is 10424452453101.

10135425442401 is a `hidden beast` number, since 1 + 0 + 1 + 35 + 42 + 544 + 2 + 40 + 1 = 666.

It is not a de Polignac number, because 10135425442401 - 2¹ = 10135425442399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10135425442001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1353371265 + ... + 1353378753.

It is an arithmetic number, because the mean of its divisors is an integer number (179089135680).

Almost surely, 2^{10135425442401} is an apocalyptic number.

It is an amenable number.

10135425442401 is a deficient number, since it is larger than the sum of its proper divisors (7057131582879).

10135425442401 is a wasteful number, since it uses less digits than its factorization.

10135425442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11515 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10135425442401 its reverse (10424452453101), we get a palindrome (20559877895502).

The spelling of 10135425442401 in words is "ten trillion, one hundred thirty-five billion, four hundred twenty-five million, four hundred forty-two thousand, four hundred one".