10011035242134 has 128 divisors (see below), whose sum is σ = 23406907392000. Its totient is φ = 3167385962400.

The previous prime is 10011035242099. The next prime is 10011035242141. The reversal of 10011035242134 is 43124253011001.

10011035242134 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 0 + 3 + 524 + 2 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10011035242098 and 10011035242107.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43242829 + ... + 43473719.

It is an arithmetic number, because the mean of its divisors is an integer number (182866464000).

Almost surely, 2^{10011035242134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011035242134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11703453696000).

10011035242134 is an abundant number, since it is smaller than the sum of its proper divisors (13395872149866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011035242134 is a wasteful number, since it uses less digits than its factorization.

10011035242134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231431 (or 231425 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10011035242134 its reverse (43124253011001), we get a palindrome (53135288253135).

The spelling of 10011035242134 in words is "ten trillion, eleven billion, thirty-five million, two hundred forty-two thousand, one hundred thirty-four".