10011002011010 has 216 divisors, whose sum is σ = 24949389311028. Its totient is φ = 2880285408000.

The previous prime is 10011002010941. The next prime is 10011002011019. The reversal of 10011002011010 is 1011020011001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 434743741201 + 9576258269809 = 659351^2 + 3094553^2 .

It is a super-2 number, since 2×10011002011010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011002011019) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9520460 + ... + 10519560.

Almost surely, 2^{10011002011010} is an apocalyptic number.

10011002011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011002011010 is an abundant number, since it is smaller than the sum of its proper divisors (14938387300018).

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

10011002011010 is a wasteful number, since it uses less digits than its factorization.

10011002011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999170 (or 999139 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011002011010 its reverse (1011020011001), we get a palindrome (11022022022011).

Subtracting from 10011002011010 its reverse (1011020011001), we obtain a square (8999982000009 = 2999997²).

The spelling of 10011002011010 in words is "ten trillion, eleven billion, two million, eleven thousand, ten".