11000010212010 has 80 divisors (see below), whose sum is σ = 29578874135976. Its totient is φ = 2933230050432.

The previous prime is 11000010211997. The next prime is 11000010212039. The reversal of 11000010212010 is 1021201000011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10867222123209 + 132788088801 = 3296547^2 + 364401^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000010211983 and 11000010212001.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 23613304 + ... + 24074636.

Almost surely, 2^{11000010212010} is an apocalyptic number.

11000010212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000010212010 is an abundant number, since it is smaller than the sum of its proper divisors (18578863923966).

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

11000010212010 is a wasteful number, since it uses less digits than its factorization.

11000010212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490789 (or 490780 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000010212010 its reverse (1021201000011), we get a palindrome (12021211212021).

The spelling of 11000010212010 in words is "eleven trillion, ten million, two hundred twelve thousand, ten".