10042175120 has 20 divisors (see below), whose sum is σ = 23348057340. Its totient is φ = 4016870016.

The previous prime is 10042175119. The next prime is 10042175131. The reversal of 10042175120 is 2157124001.

10042175120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2499600016 + 7542575104 = 49996^2 + 86848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10042175120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62763515 + ... + 62763674.

It is an arithmetic number, because the mean of its divisors is an integer number (1167402867).

Almost surely, 2^10042175120 is an apocalyptic number.

10042175120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042175120 is an abundant number, since it is smaller than the sum of its proper divisors (13305882220).

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

10042175120 is a wasteful number, since it uses less digits than its factorization.

10042175120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125527202 (or 125527196 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 10042175120 its reverse (2157124001), we get a palindrome (12199299121).

The spelling of 10042175120 in words is "ten billion, forty-two million, one hundred seventy-five thousand, one hundred twenty".