11010121010010 has 64 divisors (see below), whose sum is σ = 29985010444800. Its totient is φ = 2873563494336.

The previous prime is 11010121009973. The next prime is 11010121010011. The reversal of 11010121010010 is 1001012101011.

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 = 11010121009974 and 11010121010001.

It is not an unprimeable number, because it can be changed into a prime (11010121010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433798225 + ... + 433823604.

It is an arithmetic number, because the mean of its divisors is an integer number (468515788200).

Almost surely, 2^{11010121010010} is an apocalyptic number.

11010121010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11010121010010 is an abundant number, since it is smaller than the sum of its proper divisors (18974889434790).

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

11010121010010 is a wasteful number, since it uses less digits than its factorization.

11010121010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867621892 (or 867621886 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11010121010010 its reverse (1001012101011), we get a palindrome (12011133111021).

The spelling of 11010121010010 in words is "eleven trillion, ten billion, one hundred twenty-one million, ten thousand, ten".