10001010011221 has 8 divisors (see below), whose sum is σ = 10985091088320. Its totient is φ = 9062700147072.

The previous prime is 10001010011189. The next prime is 10001010011257. The reversal of 10001010011221 is 12211001010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001010011221 - 2⁵ = 10001010011189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001010011198 and 10001010011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001010011621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11442802780 + ... + 11442803653.

It is an arithmetic number, because the mean of its divisors is an integer number (1373136386040).

Almost surely, 2^{10001010011221} is an apocalyptic number.

It is an amenable number.

10001010011221 is a deficient number, since it is larger than the sum of its proper divisors (984081077099).

10001010011221 is a wasteful number, since it uses less digits than its factorization.

10001010011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22885606475.

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

Adding to 10001010011221 its reverse (12211001010001), we get a palindrome (22212011021222).

The spelling of 10001010011221 in words is "ten trillion, one billion, ten million, eleven thousand, two hundred twenty-one".