10221011211121 has 8 divisors (see below), whose sum is σ = 10344618635904. Its totient is φ = 10097414803440.

The previous prime is 10221011211107. The next prime is 10221011211161. The reversal of 10221011211121 is 12111211012201.

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 10221011211121 - 2⁴³ = 1424918188913 is a prime.

It is a super-3 number, since 3×10221011211121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221011211095 and 10221011211104.

It is not an unprimeable number, because it can be changed into a prime (10221011211161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879910 + ... + 4606111.

It is an arithmetic number, because the mean of its divisors is an integer number (1293077329488).

Almost surely, 2^{10221011211121} is an apocalyptic number.

It is an amenable number.

10221011211121 is a deficient number, since it is larger than the sum of its proper divisors (123607424783).

10221011211121 is an equidigital number, since it uses as much as digits as its factorization.

10221011211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508551.

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

Adding to 10221011211121 its reverse (12111211012201), we get a palindrome (22332222223322).

The spelling of 10221011211121 in words is "ten trillion, two hundred twenty-one billion, eleven million, two hundred eleven thousand, one hundred twenty-one".