11000110101021 has 16 divisors (see below), whose sum is σ = 16296596622720. Its totient is φ = 7333344987840.

The previous prime is 11000110100989. The next prime is 11000110101089. The reversal of 11000110101021 is 12010101100011.

It is not a de Polignac number, because 11000110101021 - 2⁵ = 11000110100989 is a prime.

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 = 11000110100994 and 11000110101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000110101091) 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, 1672581 + ... + 4979733.

It is an arithmetic number, because the mean of its divisors is an integer number (1018537288920).

Almost surely, 2^{11000110101021} is an apocalyptic number.

It is an amenable number.

11000110101021 is a deficient number, since it is larger than the sum of its proper divisors (5296486521699).

11000110101021 is a wasteful number, since it uses less digits than its factorization.

11000110101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430353 (or 3430347 counting only the distinct ones).

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

Adding to 11000110101021 its reverse (12010101100011), we get a palindrome (23010211201032).

The spelling of 11000110101021 in words is "eleven trillion, one hundred ten million, one hundred one thousand, twenty-one".