10042624211135 has 16 divisors (see below), whose sum is σ = 12774046902912. Its totient is φ = 7553205004800.

The previous prime is 10042624211083. The next prime is 10042624211153. The reversal of 10042624211135 is 53111242624001.

10042624211135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042624211135 - 2⁶ = 10042624211071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64768076 + ... + 64922945.

It is an arithmetic number, because the mean of its divisors is an integer number (798377931432).

Almost surely, 2^{10042624211135} is an apocalyptic number.

10042624211135 is a deficient number, since it is larger than the sum of its proper divisors (2731422691777).

10042624211135 is a wasteful number, since it uses less digits than its factorization.

10042624211135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129691954.

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 10042624211135 its reverse (53111242624001), we get a palindrome (63153866835136).

The spelling of 10042624211135 in words is "ten trillion, forty-two billion, six hundred twenty-four million, two hundred eleven thousand, one hundred thirty-five".