10111001010111 has 32 divisors (see below), whose sum is σ = 14985654464000. Its totient is φ = 6737790968064.

The previous prime is 10111001010109. The next prime is 10111001010197. The reversal of 10111001010111 is 11101010011101.

It is not a de Polignac number, because 10111001010111 - 2¹ = 10111001010109 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111001010093 and 10111001010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001010611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132373295 + ... + 1132382223.

It is an arithmetic number, because the mean of its divisors is an integer number (468301702000).

Almost surely, 2^{10111001010111} is an apocalyptic number.

10111001010111 is a deficient number, since it is larger than the sum of its proper divisors (4874653453889).

10111001010111 is an equidigital number, since it uses as much as digits as its factorization.

10111001010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111001010111 its reverse (11101010011101), we get a palindrome (21212011021212).

The spelling of 10111001010111 in words is "ten trillion, one hundred eleven billion, one million, ten thousand, one hundred eleven".