10011010401153 has 48 divisors (see below), whose sum is σ = 14779703218176. Its totient is φ = 6527432096640.

The previous prime is 10011010401151. The next prime is 10011010401173. The reversal of 10011010401153 is 35110401011001.

10011010401153 is a `hidden beast` number, since 1 + 0 + 0 + 110 + 1 + 0 + 401 + 153 = 666.

It is not a de Polignac number, because 10011010401153 - 2¹ = 10011010401151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011010401151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266465376 + ... + 266502942.

It is an arithmetic number, because the mean of its divisors is an integer number (307910483712).

Almost surely, 2^{10011010401153} is an apocalyptic number.

It is an amenable number.

10011010401153 is a deficient number, since it is larger than the sum of its proper divisors (4768692817023).

10011010401153 is a wasteful number, since it uses less digits than its factorization.

10011010401153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39374 (or 39371 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 10011010401153 its reverse (35110401011001), we get a palindrome (45121411412154).

The spelling of 10011010401153 in words is "ten trillion, eleven billion, ten million, four hundred one thousand, one hundred fifty-three".