10111001000221 has 16 divisors (see below), whose sum is σ = 11083730486400. Its totient is φ = 9147303777600.

The previous prime is 10111001000209. The next prime is 10111001000327. The reversal of 10111001000221 is 12200010011101.

It is a cyclic number.

It is not a de Polignac number, because 10111001000221 - 2⁹ = 10111000999709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111001000198 and 10111001000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812790 + ... + 4569751.

It is an arithmetic number, because the mean of its divisors is an integer number (692733155400).

Almost surely, 2^{10111001000221} is an apocalyptic number.

10111001000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111001000221 is a deficient number, since it is larger than the sum of its proper divisors (972729486179).

10111001000221 is a wasteful number, since it uses less digits than its factorization.

10111001000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383380.

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

Adding to 10111001000221 its reverse (12200010011101), we get a palindrome (22311011011322).

The spelling of 10111001000221 in words is "ten trillion, one hundred eleven billion, one million, two hundred twenty-one", and thus it is an aban number.