10667111121 has 12 divisors (see below), whose sum is σ = 15408944772. Its totient is φ = 7110994176.

The previous prime is 10667111107. The next prime is 10667111123. The reversal of 10667111121 is 12111176601.

It can be written as a sum of positive squares in 2 ways, for example, as 634284225 + 10032826896 = 25185^2 + 100164^2 .

It is not a de Polignac number, because 10667111121 - 2⁹ = 10667110609 is a prime.

It is a super-2 number, since 2×10667111121² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10667111123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284925 + ... + 320181.

It is an arithmetic number, because the mean of its divisors is an integer number (1284078731).

Almost surely, 2^10667111121 is an apocalyptic number.

It is an amenable number.

10667111121 is a deficient number, since it is larger than the sum of its proper divisors (4741833651).

10667111121 is a wasteful number, since it uses less digits than its factorization.

10667111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68880 (or 68877 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Adding to 10667111121 its reverse (12111176601), we get a palindrome (22778287722).

The spelling of 10667111121 in words is "ten billion, six hundred sixty-seven million, one hundred eleven thousand, one hundred twenty-one".