11010002120221 has 16 divisors (see below), whose sum is σ = 11901625638448. Its totient is φ = 10124776051200.

The previous prime is 11010002120213. The next prime is 11010002120281. The reversal of 11010002120221 is 12202120001011.

It can be written as a sum of positive squares in 8 ways, for example, as 977357640996 + 10032644479225 = 988614^2 + 3167435^2 .

It is a cyclic number.

It is not a de Polignac number, because 11010002120221 - 2³ = 11010002120213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010002120281) 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, 22665631 + ... + 23146291.

It is an arithmetic number, because the mean of its divisors is an integer number (743851602403).

Almost surely, 2^{11010002120221} is an apocalyptic number.

It is an amenable number.

11010002120221 is a deficient number, since it is larger than the sum of its proper divisors (891623518227).

11010002120221 is a wasteful number, since it uses less digits than its factorization.

11010002120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487312.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11010002120221 its reverse (12202120001011), we get a palindrome (23212122121232).

The spelling of 11010002120221 in words is "eleven trillion, ten billion, two million, one hundred twenty thousand, two hundred twenty-one".