10102002201011 has 16 divisors (see below), whose sum is σ = 12323950594560. Its totient is φ = 8087592562560.

The previous prime is 10102002201001. The next prime is 10102002201017. The reversal of 10102002201011 is 11010220020101.

It is not a de Polignac number, because 10102002201011 - 2¹⁸ = 10102001938867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102002200983 and 10102002201001.

It is not an unprimeable number, because it can be changed into a prime (10102002201017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 534884246 + ... + 534903131.

It is an arithmetic number, because the mean of its divisors is an integer number (770246912160).

Almost surely, 2^{10102002201011} is an apocalyptic number.

10102002201011 is a deficient number, since it is larger than the sum of its proper divisors (2221948393549).

10102002201011 is a wasteful number, since it uses less digits than its factorization.

10102002201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069787474.

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

Adding to 10102002201011 its reverse (11010220020101), we get a palindrome (21112222221112).

The spelling of 10102002201011 in words is "ten trillion, one hundred two billion, two million, two hundred one thousand, eleven".