11000510105010 has 32 divisors (see below), whose sum is σ = 26401541092992. Its totient is φ = 2933434156800.

The previous prime is 11000510104999. The next prime is 11000510105017. The reversal of 11000510105010 is 1050101500011.

It is a super-2 number, since 2×11000510105010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11000510105017) 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 15 ways as a sum of consecutive naturals, for example, 391210 + ... + 4706810.

It is an arithmetic number, because the mean of its divisors is an integer number (825048159156).

Almost surely, 2^{11000510105010} is an apocalyptic number.

11000510105010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000510105010 is an abundant number, since it is smaller than the sum of its proper divisors (15401030987982).

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

11000510105010 is a wasteful number, since it uses less digits than its factorization.

11000510105010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400578.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 11000510105010 its reverse (1050101500011), we get a palindrome (12050611605021).

The spelling of 11000510105010 in words is "eleven trillion, five hundred ten million, one hundred five thousand, ten".