10000221100011 has 24 divisors (see below), whose sum is σ = 14475551376000. Its totient is φ = 6652605641472.

The previous prime is 10000221100003. The next prime is 10000221100013. The reversal of 10000221100011 is 11000112200001.

It is a happy number.

10000221100011 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 10000221100011 - 2³ = 10000221100003 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 = 10000221099966 and 10000221100002.

It is not an unprimeable number, because it can be changed into a prime (10000221100013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151235625 + ... + 151301733.

It is an arithmetic number, because the mean of its divisors is an integer number (603147974000).

Almost surely, 2^{10000221100011} is an apocalyptic number.

10000221100011 is a deficient number, since it is larger than the sum of its proper divisors (4475330275989).

10000221100011 is a wasteful number, since it uses less digits than its factorization.

10000221100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101683 (or 101680 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000221100011 its reverse (11000112200001), we get a palindrome (21000333300012).

The spelling of 10000221100011 in words is "ten trillion, two hundred twenty-one million, one hundred thousand, eleven".