10042531010101 has 4 divisors (see below), whose sum is σ = 10054645041100. Its totient is φ = 10030416979104.

The previous prime is 10042531010093. The next prime is 10042531010111. The reversal of 10042531010101 is 10101013524001.

10042531010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6550681924900 + 3491849085201 = 2559430^2 + 1868649^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042531010101 - 2³ = 10042531010093 is a prime.

It is a super-2 number, since 2×10042531010101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042531010111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6057014256 + ... + 6057015913.

It is an arithmetic number, because the mean of its divisors is an integer number (2513661260275).

Almost surely, 2^{10042531010101} is an apocalyptic number.

It is an amenable number.

10042531010101 is a deficient number, since it is larger than the sum of its proper divisors (12114030999).

10042531010101 is an equidigital number, since it uses as much as digits as its factorization.

10042531010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114030998.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 10042531010101 its reverse (10101013524001), we get a palindrome (20143544534102).

The spelling of 10042531010101 in words is "ten trillion, forty-two billion, five hundred thirty-one million, ten thousand, one hundred one".