10111001001111 has 24 divisors (see below), whose sum is σ = 14621637607824. Its totient is φ = 6732890519040.

The previous prime is 10111001001061. The next prime is 10111001001121. The reversal of 10111001001111 is 11110010011101.

It is not a de Polignac number, because 10111001001111 - 2¹⁴ = 10111000984727 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 = 10111001001093 and 10111001001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30707925 + ... + 31035441.

It is an arithmetic number, because the mean of its divisors is an integer number (609234900326).

Almost surely, 2^{10111001001111} is an apocalyptic number.

10111001001111 is a deficient number, since it is larger than the sum of its proper divisors (4510636606713).

10111001001111 is a wasteful number, since it uses less digits than its factorization.

10111001001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331471 (or 331468 counting only the distinct ones).

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

Adding to 10111001001111 its reverse (11110010011101), we get a palindrome (21221011012212).

The spelling of 10111001001111 in words is "ten trillion, one hundred eleven billion, one million, one thousand, one hundred eleven".