10120211121111 has 24 divisors (see below), whose sum is σ = 16904088908784. Its totient is φ = 5338133337600.

The previous prime is 10120211121101. The next prime is 10120211121113. The reversal of 10120211121111 is 11112111202101.

It is not a de Polignac number, because 10120211121111 - 2²⁵ = 10120177566679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120211121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2647881690 + ... + 2647885511.

It is an arithmetic number, because the mean of its divisors is an integer number (704337037866).

Almost surely, 2^{10120211121111} is an apocalyptic number.

10120211121111 is a deficient number, since it is larger than the sum of its proper divisors (6783877787673).

10120211121111 is a wasteful number, since it uses less digits than its factorization.

10120211121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295767231 (or 5295767224 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10120211121111 its reverse (11112111202101), we get a palindrome (21232322323212).

The spelling of 10120211121111 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, one hundred eleven".