10002010122011 has 64 divisors (see below), whose sum is σ = 11035035648000. Its totient is φ = 9029336924160.

The previous prime is 10002010122001. The next prime is 10002010122023. The reversal of 10002010122011 is 11022101020001.

It is not a de Polignac number, because 10002010122011 - 2¹⁴ = 10002010105627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002010121983 and 10002010122001.

It is not an unprimeable number, because it can be changed into a prime (10002010122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9201480710 + ... + 9201481796.

It is an arithmetic number, because the mean of its divisors is an integer number (172422432000).

Almost surely, 2^{10002010122011} is an apocalyptic number.

10002010122011 is a deficient number, since it is larger than the sum of its proper divisors (1033025525989).

10002010122011 is a wasteful number, since it uses less digits than its factorization.

10002010122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002010122011 its reverse (11022101020001), we get a palindrome (21024111142012).

The spelling of 10002010122011 in words is "ten trillion, two billion, ten million, one hundred twenty-two thousand, eleven".