10211101121 has 4 divisors (see below), whose sum is σ = 10996570452. Its totient is φ = 9425631792.

The previous prime is 10211101099. The next prime is 10211101123. The reversal of 10211101121 is 12110111201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12110111201 = 277 ⋅43718813.

It can be written as a sum of positive squares in 2 ways, for example, as 1827135025 + 8383966096 = 42745^2 + 91564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211101121 is a prime.

It is a super-2 number, since 2×10211101121² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392734646 + ... + 392734671.

It is an arithmetic number, because the mean of its divisors is an integer number (2749142613).

Almost surely, 2^10211101121 is an apocalyptic number.

It is an amenable number.

10211101121 is a deficient number, since it is larger than the sum of its proper divisors (785469331).

10211101121 is an equidigital number, since it uses as much as digits as its factorization.

10211101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785469330.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211101121 its reverse (12110111201), we get a palindrome (22321212322).

The spelling of 10211101121 in words is "ten billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".