10042531010100 has 108 divisors (see below), whose sum is σ = 31789416766380. Its totient is φ = 2651493312000.

The previous prime is 10042531010093. The next prime is 10042531010111. The reversal of 10042531010100 is 101013524001.

10042531010100 is a `hidden beast` number, since 100 + 425 + 31 + 0 + 10 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 27546704784 + 10014984305316 = 165972^2 + 3164646^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55148545 + ... + 55330344.

Almost surely, 2^{10042531010100} is an apocalyptic number.

10042531010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042531010100 is an abundant number, since it is smaller than the sum of its proper divisors (21746885756280).

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

10042531010100 is a wasteful number, since it uses less digits than its factorization.

10042531010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110479010 (or 110479000 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10042531010100 its reverse (101013524001), we get a palindrome (10143544534101).

The spelling of 10042531010100 in words is "ten trillion, forty-two billion, five hundred thirty-one million, ten thousand, one hundred".