10211121221 has 24 divisors (see below), whose sum is σ = 12082176000. Its totient is φ = 8603116704.

The previous prime is 10211121187. The next prime is 10211121259. The reversal of 10211121221 is 12212111201.

It is not a de Polignac number, because 10211121221 - 2¹⁴ = 10211104837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211121196 and 10211121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211126221) 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, 880700 + ... + 892218.

It is an arithmetic number, because the mean of its divisors is an integer number (503424000).

Almost surely, 2^10211121221 is an apocalyptic number.

It is an amenable number.

10211121221 is a deficient number, since it is larger than the sum of its proper divisors (1871054779).

10211121221 is a wasteful number, since it uses less digits than its factorization.

10211121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11841 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211121221 its reverse (12212111201), we get a palindrome (22423232422).

The spelling of 10211121221 in words is "ten billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".