10221011121128 has 8 divisors (see below), whose sum is σ = 19164395852130. Its totient is φ = 5110505560560.

The previous prime is 10221011121127. The next prime is 10221011121187. The reversal of 10221011121128 is 82112111012201.

It can be written as a sum of positive squares in only one way, i.e., 7353197575684 + 2867813545444 = 2711678^2 + 1693462^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×10221011121128³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221011121127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 638813195063 + ... + 638813195078.

Almost surely, 2^{10221011121128} is an apocalyptic number.

It is an amenable number.

10221011121128 is a deficient number, since it is larger than the sum of its proper divisors (8943384731002).

10221011121128 is a wasteful number, since it uses less digits than its factorization.

10221011121128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277626390147 (or 1277626390143 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 10221011121128 its reverse (82112111012201), we get a palindrome (92333122133329).

The spelling of 10221011121128 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred twenty-eight".