10011220012010 has 24 divisors (see below), whose sum is σ = 20962268842500. Its totient is φ = 3432418289664.

The previous prime is 10011220011997. The next prime is 10011220012063. The reversal of 10011220012010 is 1021002211001.

It can be written as a sum of positive squares in 2 ways, for example, as 8881848339049 + 1129371672961 = 2980243^2 + 1062719^2 .

It is a super-3 number, since 3×10011220012010³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10011220011982 and 10011220012000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10215530135 + ... + 10215531114.

Almost surely, 2^{10011220012010} is an apocalyptic number.

10011220012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011220012010 is an abundant number, since it is smaller than the sum of its proper divisors (10951048830490).

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

10011220012010 is a wasteful number, since it uses less digits than its factorization.

10011220012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20431061270 (or 20431061263 counting only the distinct ones).

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

Adding to 10011220012010 its reverse (1021002211001), we get a palindrome (11032222223011).

The spelling of 10011220012010 in words is "ten trillion, eleven billion, two hundred twenty million, twelve thousand, ten".