10011102111 has 12 divisors (see below), whose sum is σ = 14466564840. Its totient is φ = 6671260080.

The previous prime is 10011102083. The next prime is 10011102113. The reversal of 10011102111 is 11120111001.

It is not a de Polignac number, because 10011102111 - 2²⁶ = 9943993247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011102093 and 10011102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011102113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211305 + ... + 254306.

It is an arithmetic number, because the mean of its divisors is an integer number (1205547070).

Almost surely, 2^10011102111 is an apocalyptic number.

10011102111 is a deficient number, since it is larger than the sum of its proper divisors (4455462729).

10011102111 is a wasteful number, since it uses less digits than its factorization.

10011102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468006 (or 468003 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011102111 its reverse (11120111001), we get a palindrome (21131213112).

The spelling of 10011102111 in words is "ten billion, eleven million, one hundred two thousand, one hundred eleven".