10221011121 has 16 divisors (see below), whose sum is σ = 13739584320. Its totient is φ = 6758445120.

The previous prime is 10221011081. The next prime is 10221011131. The reversal of 10221011121 is 12111012201.

It is not a de Polignac number, because 10221011121 - 2⁶ = 10221011057 is a prime.

It is a super-3 number, since 3×10221011121³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10221011097 and 10221011106.

It is not an unprimeable number, because it can be changed into a prime (10221011131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157915 + ... + 213023.

It is an arithmetic number, because the mean of its divisors is an integer number (858724020).

Almost surely, 2^10221011121 is an apocalyptic number.

It is an amenable number.

10221011121 is a deficient number, since it is larger than the sum of its proper divisors (3518573199).

10221011121 is a wasteful number, since it uses less digits than its factorization.

10221011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55616.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221011121 its reverse (12111012201), we get a palindrome (22332023322).

The spelling of 10221011121 in words is "ten billion, two hundred twenty-one million, eleven thousand, one hundred twenty-one".