10000011122221 has 8 divisors (see below), whose sum is σ = 10172083475000. Its totient is φ = 9828201277440.

The previous prime is 10000011122209. The next prime is 10000011122263. The reversal of 10000011122221 is 12222111000001.

It can be written as a sum of positive squares in 4 ways, for example, as 578862288900 + 9421148833321 = 760830^2 + 3069389^2 .

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 10000011122221 - 2¹⁹ = 10000010597933 is a prime.

It is a super-3 number, since 3×10000011122221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000018122221) 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, 65550156 + ... + 65702533.

It is an arithmetic number, because the mean of its divisors is an integer number (1271510434375).

Almost surely, 2^{10000011122221} is an apocalyptic number.

It is an amenable number.

10000011122221 is a deficient number, since it is larger than the sum of its proper divisors (172072352779).

10000011122221 is a wasteful number, since it uses less digits than its factorization.

10000011122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131253999.

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

Adding to 10000011122221 its reverse (12222111000001), we get a palindrome (22222122122222).

The spelling of 10000011122221 in words is "ten trillion, eleven million, one hundred twenty-two thousand, two hundred twenty-one".