10135200042 has 48 divisors (see below), whose sum is σ = 23964782400. Its totient is φ = 3070137600.

The previous prime is 10135200037. The next prime is 10135200059. The reversal of 10135200042 is 24000253101.

10135200042 is a `hidden beast` number, since 101 + 3 + 520 + 0 + 0 + 42 = 666.

It is a super-3 number, since 3×10135200042³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10135199988 and 10135200024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639834 + ... + 655482.

It is an arithmetic number, because the mean of its divisors is an integer number (499266300).

Almost surely, 2^10135200042 is an apocalyptic number.

10135200042 is an abundant number, since it is smaller than the sum of its proper divisors (13829582358).

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

10135200042 is a wasteful number, since it uses less digits than its factorization.

10135200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18939 (or 18936 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10135200042 its reverse (24000253101), we get a palindrome (34135453143).

The spelling of 10135200042 in words is "ten billion, one hundred thirty-five million, two hundred thousand, forty-two".