10042010011 has 16 divisors (see below), whose sum is σ = 11166996960. Its totient is φ = 8952536320.

The previous prime is 10042009963. The next prime is 10042010023. The reversal of 10042010011 is 11001024001.

It is a cyclic number.

It is not a de Polignac number, because 10042010011 - 2¹⁹ = 10041485723 is a prime.

It is a super-3 number, since 3×10042010011³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10042010011.

It is not an unprimeable number, because it can be changed into a prime (10042010051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372445 + ... + 2376673.

It is an arithmetic number, because the mean of its divisors is an integer number (697937310).

Almost surely, 2^10042010011 is an apocalyptic number.

10042010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10042010011 is a deficient number, since it is larger than the sum of its proper divisors (1124986949).

10042010011 is a wasteful number, since it uses less digits than its factorization.

10042010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10042010011 its reverse (11001024001), we get a palindrome (21043034012).

It can be divided in two parts, 1004 and 2010011, that added together give a triangular number (2011015 = T₂₀₀₅).

The spelling of 10042010011 in words is "ten billion, forty-two million, ten thousand, eleven".