10111211121111 has 128 divisors (see below), whose sum is σ = 14828911460352. Its totient is φ = 6114524976000.

The previous prime is 10111211121103. The next prime is 10111211121133. The reversal of 10111211121111 is 11112111211101.

It is a happy number.

10111211121111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111211121111 - 2³ = 10111211121103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111211121101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2548828650 + ... + 2548832616.

It is an arithmetic number, because the mean of its divisors is an integer number (115850870784).

Almost surely, 2^{10111211121111} is an apocalyptic number.

10111211121111 is a deficient number, since it is larger than the sum of its proper divisors (4717700339241).

10111211121111 is a wasteful number, since it uses less digits than its factorization.

10111211121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 10111211121111 its reverse (11112111211101), we get a palindrome (21223322332212).

The spelling of 10111211121111 in words is "ten trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, one hundred eleven".