10221011121127 has 2 divisors, whose sum is σ = 10221011121128. Its totient is φ = 10221011121126.

The previous prime is 10221011121109. The next prime is 10221011121187. The reversal of 10221011121127 is 72112111012201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10221011121127 - 2²⁷ = 10220876903399 is a prime.

It is a super-3 number, since 3×10221011121127³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221011121098 and 10221011121107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221011121187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505560563 + 5110505560564.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505560564).

Almost surely, 2^{10221011121127} is an apocalyptic number.

10221011121127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221011121127 is an equidigital number, since it uses as much as digits as its factorization.

10221011121127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 10221011121127 its reverse (72112111012201), we get a palindrome (82333122133328).

The spelling of 10221011121127 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred twenty-seven".