10011122010221 has 12 divisors (see below), whose sum is σ = 10635118412640. Its totient is φ = 9421819331520.

The previous prime is 10011122010193. The next prime is 10011122010251. The reversal of 10011122010221 is 12201022111001.

10011122010221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011122010221 - 2²² = 10011117815917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011122010196 and 10011122010205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011122010251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5945066 + ... + 7440836.

It is an arithmetic number, because the mean of its divisors is an integer number (886259867720).

Almost surely, 2^{10011122010221} is an apocalyptic number.

It is an amenable number.

10011122010221 is a deficient number, since it is larger than the sum of its proper divisors (623996402419).

10011122010221 is a wasteful number, since it uses less digits than its factorization.

10011122010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518964 (or 1518947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011122010221 its reverse (12201022111001), we get a palindrome (22212144121222).

The spelling of 10011122010221 in words is "ten trillion, eleven billion, one hundred twenty-two million, ten thousand, two hundred twenty-one".