11001120021010 has 48 divisors (see below), whose sum is σ = 23035784384664. Its totient is φ = 3771683854848.

The previous prime is 11001120020987. The next prime is 11001120021019. The reversal of 11001120021010 is 1012002110011.

It can be written as a sum of positive squares in 4 ways, for example, as 1266077290401 + 9735042730609 = 1125201^2 + 3120103^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11001120021019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14585482 + ... + 15321178.

Almost surely, 2^{11001120021010} is an apocalyptic number.

11001120021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001120021010 is an abundant number, since it is smaller than the sum of its proper divisors (12034664363654).

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

11001120021010 is a wasteful number, since it uses less digits than its factorization.

11001120021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766235 (or 766228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11001120021010 its reverse (1012002110011), we get a palindrome (12013122131021).

The spelling of 11001120021010 in words is "eleven trillion, one billion, one hundred twenty million, twenty-one thousand, ten".