10011121122221 has 8 divisors (see below), whose sum is σ = 10013339890200. Its totient is φ = 10008902537280.

The previous prime is 10011121122151. The next prime is 10011121122253. The reversal of 10011121122221 is 12222112111001.

It can be written as a sum of positive squares in 4 ways, for example, as 7580605824100 + 2430515298121 = 2753290^2 + 1559011^2 .

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 10011121122221 - 2²⁶ = 10011054013357 is a prime.

It is a super-2 number, since 2×10011121122221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011121122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011121722221) 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, 186646835 + ... + 186700463.

It is an arithmetic number, because the mean of its divisors is an integer number (1251667486275).

Almost surely, 2^{10011121122221} is an apocalyptic number.

It is an amenable number.

10011121122221 is a deficient number, since it is larger than the sum of its proper divisors (2218767979).

10011121122221 is an equidigital number, since it uses as much as digits as its factorization.

10011121122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91519.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10011121122221 its reverse (12222112111001), we get a palindrome (22233233233222).

The spelling of 10011121122221 in words is "ten trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".