10101111112111 has 4 divisors (see below), whose sum is σ = 10101533582224. Its totient is φ = 10100688642000.

The previous prime is 10101111112093. The next prime is 10101111112117. The reversal of 10101111112111 is 11121111110101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10101111112111 - 2⁷ = 10101111111983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101111112091 and 10101111112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111112117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211199190 + ... + 211247011.

It is an arithmetic number, because the mean of its divisors is an integer number (2525383395556).

Almost surely, 2^{10101111112111} is an apocalyptic number.

10101111112111 is a deficient number, since it is larger than the sum of its proper divisors (422470113).

10101111112111 is an equidigital number, since it uses as much as digits as its factorization.

10101111112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422470112.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 10101111112111 its reverse (11121111110101), we get a palindrome (21222222222212).

The spelling of 10101111112111 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred twelve thousand, one hundred eleven".